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Author : C. C. Pansonato
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.3/5 (91 download)
Download or read book Total Torsion of Curves in Three-dimensional Riemannian Manifolds written by C. C. Pansonato and published by . This book was released on 2006 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Turaev
Publisher : Birkhäuser
ISBN 13 : 3034879997
Total Pages : 201 pages
Book Rating : 4.0/5 (348 download)
Download or read book Torsions of 3-dimensional Manifolds written by Vladimir Turaev and published by Birkhäuser. This book was released on 2012-12-06 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is an excellent exposition about abelian Reidemeister torsions for three-manifolds." —Zentralblatt Math "This monograph contains a wealth of information many topologists will find very handy. ...Many of the new points of view pioneered by Turaev are gradually becoming mainstream and are spreading beyond the pure topology world. This monograph is a timely and very useful addition to the scientific literature." —Mathematical Reviews
Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 038798271X
Total Pages : 233 pages
Book Rating : 4.3/5 (879 download)
Download or read book Riemannian Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 1997-09-05 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author : Harold Hotelling
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.F/5 ( download)
Download or read book Three-dimensional Manifolds of States of Motion ... written by Harold Hotelling and published by . This book was released on 1925 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Shiohama
Publisher : Elsevier
ISBN 13 : 0080925782
Total Pages : 536 pages
Book Rating : 4.0/5 (89 download)
Download or read book Geometry of Manifolds written by K. Shiohama and published by Elsevier. This book was released on 1989-10-04 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at a symposium on differential geometry at Shinshu University in July of 1988. Carefully reviewed by a panel of experts, the papers pertain to the following areas of research: dynamical systems, geometry of submanifolds and tensor geometry, lie sphere geometry, Riemannian geometry, Yang-Mills Connections, and geometry of the Laplace operator.
Author : Krishan L. Duggal
Publisher : World Scientific
ISBN 13 : 981270647X
Total Pages : 302 pages
Book Rating : 4.8/5 (127 download)
Download or read book Null Curves and Hypersurfaces of Semi-Riemannian Manifolds written by Krishan L. Duggal and published by World Scientific. This book was released on 2007 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering. It fills an important gap in a second-level course in differential geometry, as well as being essential for a core undergraduate course on Riemannian curves and surfaces. The sequence of chapters is arranged to provide in-depth understanding of a chapter and stimulate further interest in the next. The book comprises a large variety of solved examples and rigorous exercises that range from elementary to higher levels. This unique volume is self-contained and unified in presenting: ? A systematic account of all possible null curves, their Frenet equations, unique null Cartan curves in Lorentzian manifolds and their practical problems in science and engineering.? The geometric and physical significance of null geodesics, mechanical systems involving curvature of null curves, simple variation problems and the interrelation of null curves with hypersurfaces.
Author : Jerry L. Kazdan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889022
Total Pages : 68 pages
Book Rating : 4.8/5 (89 download)
Download or read book Prescribing the Curvature of a Riemannian Manifold written by Jerry L. Kazdan and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were the basis for a series of ten lectures given in January 1984 at Polytechnic Institute of New York under the sponsorship of the Conference Board of the Mathematical Sciences and the National Science Foundation. The lectures were aimed at mathematicians who knew either some differential geometry or partial differential equations, although others could understand the lectures. Author's Summary:Given a Riemannian Manifold $(M,g)$ one can compute the sectional, Ricci, and scalar curvatures. In other special circumstances one also has mean curvatures, holomorphic curvatures, etc. The inverse problem is, given a candidate for some curvature, to determine if there is some metric $g$ with that as its curvature. One may also restrict ones attention to a special class of metrics, such as Kahler or conformal metrics, or those coming from an embedding. These problems lead one to (try to) solve nonlinear partial differential equations. However, there may be topological or analytic obstructions to solving these equations. A discussion of these problems thus requires a balanced understanding between various existence and non-existence results. The intent of this volume is to give an up-to-date survey of these questions, including enough background, so that the current research literature is accessible to mathematicians who are not necessarily experts in PDE or differential geometry. The intended audience is mathematicians and graduate students who know either PDE or differential geometry at roughly the level of an intermediate graduate course.
Author : Herbert Seifert
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)
Download or read book Three-dimensional Manifolds written by Herbert Seifert and published by . This book was released on 1971 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
ISBN 13 : 9780817638061
Total Pages : 304 pages
Book Rating : 4.6/5 (38 download)
Download or read book Foliations on Riemannian Manifolds and Submanifolds written by Vladimir Rovenski and published by Springer Science & Business Media. This book was released on 1997-12-29 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on the author's results on the Riemannian ge ometry of foliations with nonnegative mixed curvature and on the geometry of sub manifolds with generators (rulings) in a Riemannian space of nonnegative curvature. The main idea is that such foliated (sub) manifolds can be decom posed when the dimension of the leaves (generators) is large. The methods of investigation are mostly synthetic. The work is divided into two parts, consisting of seven chapters and three appendices. Appendix A was written jointly with V. Toponogov. Part 1 is devoted to the Riemannian geometry of foliations. In the first few sections of Chapter I we give a survey of the basic results on foliated smooth manifolds (Sections 1.1-1.3), and finish in Section 1.4 with a discussion of the key problem of this work: the role of Riemannian curvature in the study of foliations on manifolds and submanifolds.
Author : Katsuhiro Shiohama
Publisher : Springer
ISBN 13 : 3540388273
Total Pages : 343 pages
Book Rating : 4.5/5 (43 download)
Download or read book Curvature and Topology of Riemannian Manifolds written by Katsuhiro Shiohama and published by Springer. This book was released on 2006-11-14 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John M. Lee
Publisher : Springer
ISBN 13 : 3319917552
Total Pages : 437 pages
Book Rating : 4.3/5 (199 download)
Download or read book Introduction to Riemannian Manifolds written by John M. Lee and published by Springer. This book was released on 2019-01-02 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author : Eric Boeckx
Publisher : World Scientific
ISBN 13 : 981022768X
Total Pages : 319 pages
Book Rating : 4.8/5 (12 download)
Download or read book Riemannian Manifolds of Conullity Two written by Eric Boeckx and published by World Scientific. This book was released on 1996 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with Riemannian manifolds for which the nullity space of the curvature tensor has codimension two. These manifolds are ?semi-symmetric spaces foliated by Euclidean leaves of codimension two? in the sense of Z I Szab¢. The authors concentrate on the rich geometrical structure and explicit descriptions of these remarkable spaces. Also parallel theories are developed for manifolds of ?relative conullity two?. This makes a bridge to a survey on curvature homogeneous spaces introduced by I M Singer. As an application of the main topic, interesting hypersurfaces with type number two in Euclidean space are discovered, namely those which are locally rigid or ?almost rigid?. The unifying method is solving explicitly particular systems of nonlinear PDE.
Author : Aleksandr Danilovich Aleksandrov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821818763
Total Pages : 198 pages
Book Rating : 4.8/5 (187 download)
Download or read book Two-dimensional Manifolds of Bounded Curvature written by Aleksandr Danilovich Aleksandrov and published by American Mathematical Soc.. This book was released on 1967 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings and papers about in which the foundation of the intrinsic geometry of nonregular surfaces is developed.
Author : D. E. Blair
Publisher : Springer
ISBN 13 : 3540381546
Total Pages : 153 pages
Book Rating : 4.5/5 (43 download)
Download or read book Contact Manifolds in Riemannian Geometry written by D. E. Blair and published by Springer. This book was released on 2006-11-14 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katsuhiro Shiohama
Publisher :
ISBN 13 : 9783662190036
Total Pages : 348 pages
Book Rating : 4.1/5 (9 download)
Download or read book Curvature and Topology of Riemannian Manifolds written by Katsuhiro Shiohama and published by . This book was released on 2014-01-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Eisenbud
Publisher : Princeton University Press
ISBN 13 : 0691083819
Total Pages : 183 pages
Book Rating : 4.6/5 (91 download)
Download or read book Three-dimensional Link Theory and Invariants of Plane Curve Singularities written by David Eisenbud and published by Princeton University Press. This book was released on 1985 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a new foundation for the theory of links in 3-space modeled on the modern developmentby Jaco, Shalen, Johannson, Thurston et al. of the theory of 3-manifolds. The basic construction is a method of obtaining any link by "splicing" links of the simplest kinds, namely those whose exteriors are Seifert fibered or hyperbolic. This approach to link theory is particularly attractive since most invariants of links are additive under splicing. Specially distinguished from this viewpoint is the class of links, none of whose splice components is hyperbolic. It includes all links constructed by cabling and connected sums, in particular all links of singularities of complex plane curves. One of the main contributions of this monograph is the calculation of invariants of these classes of links, such as the Alexander polynomials, monodromy, and Seifert forms.
Author :
Publisher :
ISBN 13 : 9780817669119
Total Pages : 196 pages
Book Rating : 4.6/5 (691 download)
Download or read book Torsions of 3-dimensional Manifolds written by and published by . This book was released on 2002 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
