Lectures On Minimal Submanifolds
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Lectures On Minimal Submanifolds
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Author : H. Blaine Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds written by H. Blaine Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Lectures On Minimal Submanifolds
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Author : Herbert Blaine Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds written by Herbert Blaine Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Minimal Submanifolds In Pseudo Riemannian Geometry
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Author : Henri Anciaux
language : en
Publisher: World Scientific
Release Date : 2011
Minimal Submanifolds In Pseudo Riemannian Geometry written by Henri Anciaux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the theory of minimal submanifolds have undergone considerable developments, involving techniques from related areas, such as the analysis of partial differential equations and complex analysis. On the other hand, the relativity theory has led to the study of pseudo-Riemannian manifolds, which turns out to be the most general framework for the study of minimal submanifolds. However, most of the recent books on the subject still present the theory only in the Riemannian case. For the first time, this textbook provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian geometry, only assuming from the reader some basic knowledge about manifold theory. Several classical results, such as the Weierstrass representation formula for minimal surfaces, and the minimizing properties of complex submanifolds, are presented in full generality without sacrificing the clarity of exposition. Finally, a number of very recent results on the subject, including the classification of equivariant minimal hypersurfaces in pseudo-Riemannian space forms and the characterization of minimal Lagrangian surfaces in some pseudo-Khler manifolds are given.
Seminar On Minimal Submanifolds Am 103 Volume 103
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Author : Enrico Bombieri
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Minimal Submanifolds Am 103 Volume 103 written by Enrico Bombieri 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.
A classic treatment of minimal submanifolds from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Lectures On Minimal Surfaces In R3
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Author : Yi Fang
language : en
Publisher:
Release Date : 1996
Lectures On Minimal Surfaces In R3 written by Yi Fang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Geometry, Differential categories.
Survey Lectures On Minimal Submanifolds
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Author : Leon Melvin Simon
language : en
Publisher:
Release Date : 1980
Survey Lectures On Minimal Submanifolds written by Leon Melvin Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Submanifolds categories.
Lectures On Minimal Submanifolds Vol I
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Author : H. Blaine Jr Lawson
language : en
Publisher:
Release Date : 1980
Lectures On Minimal Submanifolds Vol I written by H. Blaine Jr Lawson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Lectures And Surveys On G2 Manifolds And Related Topics
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Author : Spiro Karigiannis
language : en
Publisher: Springer Nature
Release Date : 2020-05-26
Lectures And Surveys On G2 Manifolds And Related Topics written by Spiro Karigiannis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.
This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.
Lectures On Differential Geometry
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Author : Bennett Chow
language : en
Publisher: American Mathematical Society
Release Date : 2024-09-23
Lectures On Differential Geometry written by Bennett Chow 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 2024-09-23 with Mathematics categories.
Differential geometry is a subject related to many fields in mathematics and the sciences. The authors of this book provide a vertically integrated introduction to differential geometry and geometric analysis. The material is presented in three distinct parts: an introduction to geometry via submanifolds of Euclidean space, a first course in Riemannian geometry, and a graduate special topics course in geometric analysis, and it contains more than enough content to serve as a good textbook for a course in any of these three topics. The reader will learn about the classical theory of submanifolds, smooth manifolds, Riemannian comparison geometry, bundles, connections, and curvature, the Chern?Gauss?Bonnet formula, harmonic functions, eigenfunctions, and eigenvalues on Riemannian manifolds, minimal surfaces, the curve shortening flow, and the Ricci flow on surfaces. This will provide a pathway to further topics in geometric analysis such as Ricci flow, used by Hamilton and Perelman to solve the Poincar‚ and Thurston geometrization conjectures, mean curvature flow, and minimal submanifolds. The book is primarily aimed at graduate students in geometric analysis, but it will also be of interest to postdoctoral researchers and established mathematicians looking for a refresher or deeper exploration of the topic.
Minimal Submanifolds And Geodesics
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Author : Morio Obata
language : en
Publisher: North Holland
Release Date : 1979
Minimal Submanifolds And Geodesics written by Morio Obata and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.