Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds
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Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds
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Author : Robert Everist Greene
language : en
Publisher: American Mathematical Soc.
Release Date : 1970
Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds written by Robert Everist Greene 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 1970 with Embeddings (Mathematics) categories.
Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds
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Author :
language : en
Publisher:
Release Date : 1970
Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds
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Author : Donald Alfred Eisenman
language : en
Publisher:
Release Date : 1969
Isometric Embeddings Of Riemannian And Pseudo Riemannian Manifolds written by Donald Alfred Eisenman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Automorphic functions categories.
Isometric Embedding Of Riemannian Manifolds In Euclidean Spaces
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Author : Qing Han
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Isometric Embedding Of Riemannian Manifolds In Euclidean Spaces written by Qing Han 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 2006 with Mathematics categories.
The question of the existence of isometric embeddings of Riemannian manifolds in Euclidean space is already more than a century old. This book presents, in a systematic way, results both local and global and in arbitrary dimension but with a focus on the isometric embedding of surfaces in ${\mathbb R}^3$. The emphasis is on those PDE techniques which are essential to the most important results of the last century. The classic results in this book include the Janet-Cartan Theorem, Nirenberg's solution of the Weyl problem, and Nash's Embedding Theorem, with a simplified proof by Gunther. The book also includes the main results from the past twenty years, both local and global, on the isometric embedding of surfaces in Euclidean 3-space. The work will be indispensable to researchers in the area. Moreover, the authors integrate the results and techniques into a unified whole, providing a good entry point into the area for advanced graduate students or anyone interested in this subject. The authors avoid what is technically complicated. Background knowledge is kept to an essential minimum: a one-semester course in differential geometry and a one-year course in partial differential equations.
Seminar On Differential Geometry
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Author : Shing-Tung Yau
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Differential Geometry written by Shing-Tung Yau and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.
Explorations In Complex And Riemannian Geometry
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Author : John Bland
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Explorations In Complex And Riemannian Geometry written by John Bland 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 2003 with Mathematics categories.
This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research. The material is intended for researchers and graduate students interested in several complex variables and complex geometry.
Foliations On Riemannian Manifolds And Submanifolds
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Author : Vladimir Rovenski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foliations On Riemannian Manifolds And Submanifolds written by Vladimir Rovenski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry
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Author : Ye-lin Ou
language : en
Publisher: World Scientific
Release Date : 2020-04-04
Biharmonic Submanifolds And Biharmonic Maps In Riemannian Geometry written by Ye-lin Ou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-04 with Mathematics categories.
The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results.Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces.Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics.Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained.This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field.
Memoirs Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1970
Memoirs Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
A Journey From Robot To Digital Human
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Author : Edward Y L Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-24
A Journey From Robot To Digital Human written by Edward Y L Gu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Technology & Engineering categories.
This book provides readers with a solid set of diversified and essential tools for the theoretical modeling and control of complex robotic systems, as well as for digital human modeling and realistic motion generation. Following a comprehensive introduction to the fundamentals of robotic kinematics, dynamics and control systems design, the author extends robotic modeling procedures and motion algorithms to a much higher-dimensional, larger scale and more sophisticated research area, namely digital human modeling. Most of the methods are illustrated by MATLABTM codes and sample graphical visualizations, offering a unique closed loop between conceptual understanding and visualization. Readers are guided through practicing and creating 3D graphics for robot arms as well as digital human models in MATLABTM, and through driving them for real-time animation. This work is intended to serve as a robotics textbook with an extension to digital human modeling for senior undergraduate and graduate engineering students. At the same time, it represents a comprehensive reference guide for all researchers, scientists and professionals eager to learn the fundamentals of robotic systems as well as the basic methods of digital human modeling and motion generation.