Global Theory Of Minimal Surfaces

Large book cover: Global Theory Of Minimal Surfaces

Global Theory Of Minimal Surfaces

Publisher: American Mathematical Society
ISBN/ASIN: 0821835874
ISBN-13: 9780821835876
Number of pages: 808

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, geometric measure theory and the double-bubble conjecture, Lagrangian geometry, numerical simulation of geometric phenomena, applications of mean curvature to general relativity and Riemannian geometry, the isoperimetric problem, the geometry of fully nonlinear elliptic equations and applications to the topology of three-dimensional manifolds.

This document is no more available for free.

Similar books

Book cover: Notes on Symmetric SpacesNotes on Symmetric Spaces
by - arXiv
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
Book cover: Functional Differential GeometryFunctional Differential Geometry
by - MIT
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
Book cover: An introductory course in differential geometry and the Atiyah-Singer index theoremAn introductory course in differential geometry and the Atiyah-Singer index theorem
by - Binghamton University
This is a lecture-based class on the Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer. Their work on this theorem lead to a joint Abel prize in 2004. Requirements: Knowledge of topology and manifolds.
Book cover: Exterior Differential SystemsExterior Differential Systems
by - MSRI
An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.