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Recent Advances In Alexandrov Geometry
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Book Synopsis Recent Advances in Alexandrov Geometry by : Gerardo Arizmendi Echegaray
Download or read book Recent Advances in Alexandrov Geometry written by Gerardo Arizmendi Echegaray and published by Springer Nature. This book was released on 2022-10-27 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field. It contains enhanced versions of the lecture notes of the two mini-courses plus those of one research talk given at CIMAT. Peter Petersen’s part aims at presenting various rigidity results about Alexandrov spaces in a way that facilitates the understanding by a larger audience of geometers of some of the current research in the subject. They contain a brief overview of the fundamental aspects of the theory of Alexandrov spaces with lower curvature bounds, as well as the aforementioned rigidity results with complete proofs. The text from Fernando Galaz-García’s minicourse was completed in collaboration with Jesús Nuñez-Zimbrón. It presents an up-to-date and panoramic view of the topology and geometry of 3-dimensional Alexandrov spaces, including the classification of positively and non-negatively curved spaces and the geometrization theorem. They also present Lie group actions and their topological and equivariant classifications as well as a brief account of results on collapsing Alexandrov spaces. Jesús Nuñez-Zimbrón’s contribution surveys two recent developments in the understanding of the topological and geometric rigidity of singular spaces with curvature bounded below.
Book Synopsis An Invitation to Alexandrov Geometry by : Stephanie Alexander
Download or read book An Invitation to Alexandrov Geometry written by Stephanie Alexander and published by Springer. This book was released on 2019-05-08 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
Book Synopsis Comparison Geometry by : Karsten Grove
Download or read book Comparison Geometry written by Karsten Grove and published by Cambridge University Press. This book was released on 1997-05-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.
Book Synopsis Advances in Theoretical and Mathematical Physics by :
Download or read book Advances in Theoretical and Mathematical Physics written by and published by . This book was released on 2009 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry, Valencia 2001 by : Olga Gil-Medrano
Download or read book Differential Geometry, Valencia 2001 written by Olga Gil-Medrano and published by World Scientific. This book was released on 2002 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A M Naveira. The meeting brought together distinguished researchers from a variety of areas in Riemannian geometry. The topics include: geometry of the curvature tensor, variational problems for geometric functionals such as Willmore-Chen tension, volume and energy of foliations and vector fields, and energy of maps. Many papers concern special submanifolds in Riemannian and Lorentzian manifolds, such as those with constant mean (scalar, Gauss, etc.) curvature and those with finite total curvature.
Book Synopsis Noncompact Problems at the Intersection of Geometry, Analysis, and Topology by : Abbas Bahri
Download or read book Noncompact Problems at the Intersection of Geometry, Analysis, and Topology written by Abbas Bahri and published by American Mathematical Soc.. This book was released on 2004 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.
Book Synopsis Differential Geometry, Valencia 2001 - Procs Of The Intl Conf Held To Honour The 60th Birthday Of A M Naveira by : Olga Gil-medrano
Download or read book Differential Geometry, Valencia 2001 - Procs Of The Intl Conf Held To Honour The 60th Birthday Of A M Naveira written by Olga Gil-medrano and published by World Scientific. This book was released on 2002-07-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of a conference on differential geometry held in honour of the 60th birthday of A M Naveira. The meeting brought together distinguished researchers from a variety of areas in Riemannian geometry. The topics include: geometry of the curvature tensor, variational problems for geometric functionals such as Willmore-Chen tension, volume and energy of foliations and vector fields, and energy of maps. Many papers concern special submanifolds in Riemannian and Lorentzian manifolds, such as those with constant mean (scalar, Gauss, etc.) curvature and those with finite total curvature.
Book Synopsis Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference by : Panayot S Vassilevski
Download or read book Recent Advances In Numerical Methods And Applications Ii - Proceedings Of The Fourth International Conference written by Panayot S Vassilevski and published by World Scientific. This book was released on 1999-07-05 with total page 925 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 4th International Conference on Numerical Methods and Applications. The major topics covered include: general finite difference, finite volume, finite element and boundary element methods, general numerical linear algebra and parallel computations, numerical methods for nonlinear problems and multiscale methods, multigrid and domain decomposition methods, CFD computations, mathematical modeling in structural mechanics, and environmental and engineering applications. The volume reflects the current research trends in the specified areas of numerical methods and their applications.
Book Synopsis A Course in Metric Geometry by : Dmitri Burago
Download or read book A Course in Metric Geometry written by Dmitri Burago and published by American Mathematical Society. This book was released on 2022-01-27 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.
Book Synopsis Advances in Mechanism and Machine Science by : Masafumi Okada
Download or read book Advances in Mechanism and Machine Science written by Masafumi Okada and published by Springer Nature. This book was released on 2023-11-04 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the 16th IFToMM World Congress, which was held in Tokyo, Japan, on November 5–10, 2023. Having been organized every four years since 1965, the Congress represents the world’s largest scientific event on mechanism and machine science (MMS). The contributions cover an extremely diverse range of topics, including biomechanical engineering, computational kinematics, design methodologies, dynamics of machinery, multibody dynamics, gearing and transmissions, history of MMS, linkage and mechanical controls, robotics and mechatronics, micro-mechanisms, reliability of machines and mechanisms, rotor dynamics, standardization of terminology, sustainable energy systems, transportation machinery, tribology and vibration. Selected by means of a rigorous international peer-review process, they highlight numerous exciting advances and ideas that will spur novel research directions and foster new multidisciplinary collaborations.
Book Synopsis Metric Spaces of Non-Positive Curvature by : Martin R. Bridson
Download or read book Metric Spaces of Non-Positive Curvature written by Martin R. Bridson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.
Book Synopsis International Mathematical Congresses by : Donald J. Albers
Download or read book International Mathematical Congresses written by Donald J. Albers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convexity from the Geometric Point of View by : Vitor Balestro
Download or read book Convexity from the Geometric Point of View written by Vitor Balestro and published by Springer Nature. This book was released on with total page 1195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Science - ICCS 2006 by : Vassil N. Alexandrov
Download or read book Computational Science - ICCS 2006 written by Vassil N. Alexandrov and published by Springer. This book was released on 2006-05-12 with total page 1157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume II of the four-volume set LNCS 3991-3994 constituting the refereed proceedings of the 6th International Conference on Computational Science, ICCS 2006. The 98 revised full papers and 29 revised poster papers of the main track presented together with 500 accepted workshop papers were carefully reviewed and selected for inclusion in the four volumes. The coverage spans the whole range of computational science.
Book Synopsis Siberian Advances in Mathematics by :
Download or read book Siberian Advances in Mathematics written by and published by . This book was released on 2003 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Calculus by : David V. Widder
Download or read book Advanced Calculus written by David V. Widder and published by Courier Corporation. This book was released on 2012-05-23 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
Book Synopsis Rigidity Theory and Applications by : M.F. Thorpe
Download or read book Rigidity Theory and Applications written by M.F. Thorpe and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
