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Author : Bennett Palmer
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.F/5 ( download)
Download or read book Surfaces of Constant Mean Curvature in Space Forms written by Bennett Palmer and published by . This book was released on 1986 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katsuei Kenmotsu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821834794
Total Pages : 156 pages
Book Rating : 4.8/5 (347 download)
Download or read book Surfaces with Constant Mean Curvature written by Katsuei Kenmotsu and published by American Mathematical Soc.. This book was released on 2003 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. There is a rich and well-known theory of minimal surfaces. A surface whose mean curvature is constant but nonzero is obtained when we try to minimize the area of a closed surface without changing the volume it encloses. An easy example of a surface of constant mean curvature is the sphere. A nontrivial example is provided by the constant curvature torus, whose discovery in 1984 gave a powerful incentive for studying such surfaces. Later, many examples of constant mean curvature surfaces were discovered using various methods of analysis, differential geometry, and differential equations. It is now becoming clear that there is a rich theory of surfaces of constant mean curvature. In this book, the author presents numerous examples of constant mean curvature surfaces and techniques for studying them. Many finely rendered figures illustrate the results and allow the reader to visualize and better understand these beautiful objects. The book is suitable for advanced undergraduates, graduate students and research mathematicians interested in analysis and differential geometry.
Author : Julia Plehnert
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832532064
Total Pages : 94 pages
Book Rating : 4.8/5 (325 download)
Download or read book Constant Mean Curvature Surfaces in Homogeneous Manifolds written by Julia Plehnert and published by Logos Verlag Berlin GmbH. This book was released on 2012 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation new constant mean curvature surfaces in homogeneous 3-manifolds are constructed. They arise as sister surfaces of Plateau solutions. The first example, a two-parameter family of MC H surfaces in ∑(k) x R with H ∈ [0,1/2] and k + 4H2 ≤ 0, has genus 0,2 k ends and k-fold dihedral symmetry, k ≥ 2. The existence of the minimal sister follows from the construction of a mean convex domain. The projection of the domain is non-convex. The second example is an MC 1/2 surface in H2 ∈ R with k ends, genus 1 and k-fold dihedral symmetry, k ≥ 3. One has to solve two period problems in the construction. The first period guarantees that the surface has exactly one horizontal symmetry. For the second period the control of a horizontal mirror curve proves the dihedral symmetry. For H=1/2 all surfaces are Alexandrov-embedded.
Author : Sungwook Lee
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (521 download)
Download or read book Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 written by Sungwook Lee and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eamon Barrett
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.F/5 ( download)
Download or read book Contributions to the Theory of Surfaces of Constant Mean Curvature written by Eamon Barrett and published by . This book was released on 1966 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.N. Krivoshapko
Publisher : Springer
ISBN 13 : 3319117734
Total Pages : 761 pages
Book Rating : 4.3/5 (191 download)
Download or read book Encyclopedia of Analytical Surfaces written by S.N. Krivoshapko and published by Springer. This book was released on 2015-02-25 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to structural and civil engineers and serves as valuable reference for mathematicians.
Author : Nahid Sultana
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783848481538
Total Pages : 112 pages
Book Rating : 4.4/5 (815 download)
Download or read book Constant Mean Curvature Surfaces of Revolution and Their Stability written by Nahid Sultana and published by LAP Lambert Academic Publishing. This book was released on 2014-02 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of Constant Mean Curvature (CMC) surfaces had its beginning in the nineteenth century with the works of Riemann, Weierstrass and Enneper. Recently it has enjoyed a surge of growth due to the advent of computer graphics. This field has applications in many applied fields such as applied physics, polymer science, architecture, and computer graphics. The method for the construction of CMC surfaces was developed by J. Dorfmeister, F. Pedit, and H. Wu; it is commonly called the DPW method. The DPW method is a Weierstrass type representation for CMC surfaces, using techniques of integrable systems. It gives an algorithm to compute all CMC surfaces. This book includes: explicit conformal parametrizations of CMC surfaces of revolution, in each of the three space forms Euclidean 3-space, spherical 3-space and hyperbolic 3-space by using the DPW method; the lower bounds for the Morse index and nullity of CMC tori of revolution in the 3-sphere; the spectra of Jacobi operators for CMC tori of revolution in the 3-sphere; stability properties of CMC surfaces of revolution in general simply-connected spherically symmetric 3-spaces, and in the particular case of Schwarzschild space.
Author : Gary Lynn Kerbaugh
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (849 download)
Download or read book Surfaces of Constant Mean Curvature One in Hyperbolic Space written by Gary Lynn Kerbaugh and published by . This book was released on 1985 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ioannis Markos Roussos
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (319 download)
Download or read book Mean-curvature-preserving Isometries of Surfaces in Ordinary Space written by Ioannis Markos Roussos and published by . This book was released on 1986 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lawrence E. Schmidt
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (214 download)
Download or read book Surfaces with Constant Mean Curvature written by Lawrence E. Schmidt and published by . This book was released on 19?? with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bang-Yen Chen
Publisher : World Scientific Publishing Company
ISBN 13 : 9814616710
Total Pages : 488 pages
Book Rating : 4.8/5 (146 download)
Download or read book Total Mean Curvature and Submanifolds of Finite Type written by Bang-Yen Chen and published by World Scientific Publishing Company. This book was released on 2014-10-29 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.
Author : Áurea Casinhas Quintino
Publisher : Cambridge University Press
ISBN 13 : 1108794424
Total Pages : 261 pages
Book Rating : 4.1/5 (87 download)
Download or read book Constrained Willmore Surfaces written by Áurea Casinhas Quintino and published by Cambridge University Press. This book was released on 2021-06-10 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.
Author : Bennett Palmer
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (461 download)
Download or read book Spacelike constant mean curvature surfaces in pseudo-Riemannian space forms written by Bennett Palmer and published by . This book was released on 1987 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sungwook Lee
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (521 download)
Download or read book Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 written by Sungwook Lee and published by . This book was released on 2002 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaaki Umehara
Publisher : World Scientific Publishing Company
ISBN 13 : 9814740268
Total Pages : 328 pages
Book Rating : 4.8/5 (147 download)
Download or read book Differential Geometry of Curves and Surfaces written by Masaaki Umehara and published by World Scientific Publishing Company. This book was released on 2017-05-12 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field. Request Inspection Copy
Author : Wayne Rossman
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (272 download)
Download or read book Constant Mean Curvature Surfaces in Euclidean and Hyperbolic 3-space written by Wayne Rossman and published by . This book was released on 1992 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Albert Wolf
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (279 download)
Download or read book Surfaces of Constant Mean Curvature written by Joseph Albert Wolf and published by . This book was released on 196? with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
