Geometry of submanifolds and its applications by Bang-yen Chen

Cover of: Geometry of submanifolds and its applications | Bang-yen Chen

Published by Science University of Tokyo in Tokyo .

Written in English

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Subjects:

  • Submanifolds.

Edition Notes

Book details

StatementBang-yen Chen.
The Physical Object
Paginationiii, 96 p. ;
Number of Pages96
ID Numbers
Open LibraryOL14207873M

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It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere by: The Cartan, Berwald, and Rund connections are all investigated.

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The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects.

Discussions include submanifolds in Euclidean states and Riemannian space, minimal submanifolds. 2-type submanifolds and their applications.

Book: Geometry of Submanifolds, Dover Edition. Bang-Yen Chen; This is the Dover edition of my book published by Marcel Dekker, New York. Author: Bang-Yen Chen. This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity.

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For a survey on submanifolds of finite type and various related topics we refer to [8, 9]. Let M n r be an n-dimensional, connected submanifold of the pseudo-Euclidean space E m s. Author: Bang-Yen Chen. Get this from a library.

Geometry of submanifolds and its applications. [Bang-yen Chen] -- "The present volume contains written versions of a series of talks on geometry of submanifolds and its applications delivered at Science University of Tokyo from January 16 to February 6, "--The.

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Chapter V presents some applications of the geometrical concepts discussed. In particular, an introduction to modern methods of integration of nonlinear differential equations is given, as well as considerations involving the theory of hydrodynamic-type Poisson brackets with Cited by: Bang-Yen Chen is a Taiwanese mathematician who works mainly on differential geometry and related subjects.

He was a University Distinguished Professor of Michigan State University from to After he became University Distinguished Professor : October 3,Toucheng Township, Yilan. Geometry of Submanifolds Volume 22 of Lecture notes in pure and applied mathematics Volume 22 of Monographs and textbooks in pure and applied mathematics Volume 22 of Pure and Applied Mathematics - Marcel Dekker, ISSN Volume 22 of Pure and applied mathematics: a series of monographs and textbooks.

submanifolds geometry. The role of immersibility and non-immersibility in studying the submanifolds geometry of a Riemannian manifold was affected by the pioneering work of the Nash embedding theorem [1], where every Riemannian manifold realizes an isometric immersion into a Euclidean space of sufficiently high codimension.

It should be useful to all geometers working in the theory of submanifolds." - P.J. Ryan, MathSciNet "The book under review is an excellent monograph about Lie sphere geometry and its recent applications to the study of submanifolds of Euclidean book is written in a Price: $ This book provides a clear and comprehensive modern treatment of Lie sphere geometry and its applications to the study of Euclidean submanifolds.

It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie Price: $ Symmetry, an international, peer-reviewed Open Access journal. Dear Colleagues, The present Special Issue of Symmetry is devoted into two important areas of global Riemannian geometry, namely submanifold theory and the geometry of Lie groups and homogeneous spaces.

Submanifold theory originated from the classical geometry of curves and surfaces. The differential geometry of CR submanifolds of a Kaehler manifold is studied.

Show abstract. Geometry of Submanifolds and Its Applications. Book. Full-text available View. Foundations of Author: Manjot Kaur. Description: This is a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces.

The geometry of submanifolds starts from the idea of the extrinsic geometry of a surface, and the theory studies the position and properties of a submanifold in ambient space in both local and global aspects. Part of the Mathematics and Its Applications book series (MAIA, volume ) Log in to check access.

Pseudo-Finsler Submanifolds. Aurel Bejancu, Hani Reda Farran. Special Immersions of Pseudo-Finsler Manifolds. Aurel Bejancu, Hani Reda Farran. Pages Geometry of Curves in Finsler Manifolds. Aurel Bejancu, Hani Reda Farran.

Pages. Differential Geometry of Submanifolds and Its Related Topics Proceedings of the International Workshop in Honor of S Maeda's 60th Birthday This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric.

Geometry of Submanifolds and Tensor Geometry: K. Akutagawa, The Dirichlet Problem at Infinity for Harmonic Mappings between Hadamard Manifolds.

Hashimoto, Oriented 6-Dimensional Submanifolds in the Octonians: II. Kashiwada, Notes on Tricerri-Vanhecke's Decomposition of Curvature Tensors. Differential Geometry *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Purchase Projective Differential Geometry of Submanifolds, Volume 49 - 1st Edition. Print Book & E-Book. ISBNThis book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds.

The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, into do.

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the main di erences between intrinsic geometry and extrinsic geometry of a submani-fold. the main results of submanifolds theory, its applications and extensions. Course contents -Riemannian manifolds. Di erentiable manifolds. Di erentiable functions. Tangent space. Di erentiable maps. Vec-tor elds.

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Dear Colleagues, Submanifold theory can be thought of as a generalization of the study of surfaces in the 3-dimensional Euclidean space. In the general theory, both the dimension of the submanifold and the codimension, which is the difference between the dimension of the ambient space and the dimension of the submanifold, can be arbitrarily high, and the ambient space does not need to be flat.

The beautiful theory of the warped product submanifolds has rich applications in both Riemannian geometry and semi-Riemannian geometry. Until now, the concept of warped product has been playing a crucial role in the theory of general relativity which provides the best mathematical model of the by:.

It also discusses the geometry of pseudo-Finsler manifolds and presents a comparison between the induced and the intrinsic Finsler connections. The Cartan, Berwald, and Rund connections are all investigated.

Included also is the study of totally geodesic and other special submanifolds such as curves, surfaces, and : $Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, Geometry And Topology Of Submanifolds Vi - Pure And Applied Differential Geometry And The Theory Of Submanifolds - Ebook written by Dillen Franki, Verstraelen Leopold, Van De Woestyne Ignace.

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