Classification Theory Of Riemannian Manifolds
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Classification Theory Of Riemannian Manifolds
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Author : S. R. Sario
language : en
Publisher: Springer
Release Date : 2006-11-15
Classification Theory Of Riemannian Manifolds written by S. R. Sario and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Classification Theory Of Riemannian Manifolds
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Author : S. R. Sario
language : en
Publisher:
Release Date : 2014-01-15
Classification Theory Of Riemannian Manifolds written by S. R. Sario and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Classification Theory Of Riemannian Manifolds Harmonic Quasiharmonic And Biharmonic Functions
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Author : L. Sario
language : de
Publisher:
Release Date : 1977
Classification Theory Of Riemannian Manifolds Harmonic Quasiharmonic And Biharmonic Functions written by L. Sario and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Lecture Notes In Mathematics
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Author :
language : en
Publisher:
Release Date : 1964
Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Harmonic functions categories.
Leo Sario U A Classification Theory Of Riemannian Manifolds
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Author : Theory
language : en
Publisher:
Release Date : 1977
Leo Sario U A Classification Theory Of Riemannian Manifolds written by Theory and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Some Results In The Classification Theory Of Riemannian Manifolds
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Author : Richard Emmanuel Katz
language : en
Publisher:
Release Date : 1967
Some Results In The Classification Theory Of Riemannian Manifolds written by Richard Emmanuel Katz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Harmonic functions categories.
Classification theory deals with the problem of deciding which Riemann surfaces or Riemannian manifolds can carry nonconstant analytic or harmonic functions with certain restrictive properties. Depending on these properties, the author defines various 'null classes' of manifolds and considers their function-theoretic and metric characteristics as well as inclusion relations between them. (Author).
Riemannian Manifolds
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Author : John M. Lee
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Riemannian Manifolds written by John M. Lee 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 2006-04-06 with Mathematics categories.
This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. The author has selected a set of topics that can reasonably be covered in ten to fifteen weeks, instead of making any attempt to provide an encyclopedic treatment of the subject. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics,without which one cannot claim to be doing Riemannian geometry. It then introduces the Riemann curvature tensor, and quickly moves on to submanifold theory in order to give the curvature tensor a concrete quantitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topology of manifolds of nonpositive curvature), Bonnet’s theorem (giving analogous restrictions on manifolds of strictly positive curvature), and a special case of the Cartan–Ambrose–Hicks theorem (characterizing manifolds of constant curvature). Many other results and techniques might reasonably claim a place in an introductory Riemannian geometry course, but could not be included due to time constraints.
Journal Of Fourier Analysis And Applications Special Issue
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Author : John J. Benedetto
language : en
Publisher: CRC Press
Release Date : 2020-03-10
Journal Of Fourier Analysis And Applications Special Issue written by John J. Benedetto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Mathematics categories.
The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.
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.
The Poincar N Ball In Harmonic And Biharmonic Classification Theory Of Riemannian Manifolds
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Author : Dennis Shuji Hada
language : en
Publisher:
Release Date : 1972
The Poincar N Ball In Harmonic And Biharmonic Classification Theory Of Riemannian Manifolds written by Dennis Shuji Hada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Riemannian manifolds categories.