Differential Geometry In Honor Of Kentaro Yano
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Differential Geometry In Honor Of Kentaro Yano
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Author : Kentarō Yano
language : en
Publisher:
Release Date : 1972
Differential Geometry In Honor Of Kentaro Yano written by Kentarō Yano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Geometry, Differential categories.
Differential Geometry
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Author :
language : en
Publisher:
Release Date : 1972
Differential Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Differential Geometry In Honor Of Kentaro Yano Edited By S Kobayashi M Obata And T Takahashi
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Author : Tsunerō Taskabashi
language : en
Publisher:
Release Date : 1972
Differential Geometry In Honor Of Kentaro Yano Edited By S Kobayashi M Obata And T Takahashi written by Tsunerō Taskabashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Geometry, Differential categories.
Tangent And Cotangent Bundles
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Author : Kentarō Yano
language : en
Publisher:
Release Date : 1973
Tangent And Cotangent Bundles written by Kentarō Yano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Selected Papers Of Kentaro Yano
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Author : M. Obata
language : en
Publisher: Elsevier
Release Date : 1982-01-01
Selected Papers Of Kentaro Yano written by M. Obata and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Mathematics categories.
Selected Papers of Kentaro Yano
Differential Geometry Of Curves And Surfaces
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Author : Shoshichi Kobayashi
language : en
Publisher: Springer Nature
Release Date : 2019-11-13
Differential Geometry Of Curves And Surfaces written by Shoshichi Kobayashi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Mathematics categories.
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometry of Surfaces; 4. Gauss–Bonnet Theorem; and 5. Minimal Surfaces. Chapter 1 discusses local and global properties of planar curves and curves in space. Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. Two types of curvatures — the Gaussian curvature K and the mean curvature H —are introduced. The method of the moving frames, a standard technique in differential geometry, is introduced in the context of a surface in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed. The concept of a geodesic introduced in Chapter 2 is extensively discussed, and several examples of geodesics are presented with illustrations. Chapter 4 starts with a simple and elegant proof of Stokes’ theorem for a domain. Then the Gauss–Bonnet theorem, the major topic of this book, is discussed at great length. The theorem is a most beautiful and deep result in differential geometry. It yields a relation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number χ(S). Here again, many illustrations are provided to facilitate the reader’s understanding. Chapter 5, Minimal Surfaces, requires some elementary knowledge of complex analysis. However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2.
Differential Geometry And Global Analysis
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Author : Bang-Yen Chen
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-07
Differential Geometry And Global Analysis written by Bang-Yen Chen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-07 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930–2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today. This volume is inspired by his work and his legacy and, while recalling historical results, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.
Global Differential Geometry
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Author : Alfred Gray
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Global Differential Geometry written by Alfred Gray and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Alfred Gray's work covered a great part of differential geometry. In September 2000, a remarkable International Congress on Differential Geometry was held in his memory in Bilbao, Spain. Mathematicians from all over the world, representing 24 countries, attended the event. This volume includes major contributions by well known mathematicians (T. Banchoff, S. Donaldson, H. Ferguson, M. Gromov, N. Hitchin, A. Huckleberry, O. Kowalski, V. Miquel, E. Musso, A. Ros, S. Salamon, L. Vanhecke, P. Wellin and J.A. Wolf), the interesting discussion from the round table moderated by J.-P. Bourguignon, and a carefully selected and refereed selection of the Short Communications presented at the Congress. This book represents the state of the art in modern differential geometry, with some general expositions of some of the more active areas: special Riemannian manifolds, Lie groups and homogeneous spaces, complex structures, symplectic manifolds, geometry of geodesic spheres and tubes and related problems, geometry of surfaces, and computer graphics in differential geometry.
Tangent And Cotangent Bundles
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Author : Kentarō Yano
language : en
Publisher:
Release Date : 1973
Tangent And Cotangent Bundles written by Kentarō Yano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Geometry, Differential categories.
Handbook Of Differential Geometry Volume 1
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Author : F.J.E. Dillen
language : en
Publisher: Elsevier
Release Date : 1999-12-16
Handbook Of Differential Geometry Volume 1 written by F.J.E. Dillen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-12-16 with Mathematics categories.
In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.