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Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem
About this Title
Dao Trong Thi and A. T. Fomenko. Translated by E. J. F. Primrose
Publication: Translations of Mathematical Monographs
Publication Year:
1991; Volume 84
ISBNs: 978-0-8218-4536-3 (print); 978-1-4704-4497-6 (online)
DOI: https://doi.org/10.1090/mmono/084
MathSciNet review: MR1093903
MSC: Primary 58E12; Secondary 49Q05, 53A10, 58E20
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Chapter I. Historical survey and introduction to the classical theory of minimal surfaces
- Chapter II. Information about some topological facts used in the modern theory of minimal surfaces
- Chapter III. The modern state of the theory of minimal surfaces
- Chapter IV. The multidimensional Plateau problem in the spectral class of all manifolds with a fixed boundary
- Chapter V. Multidimensional minimal surfaces and harmonic maps
- Chapter VI. Multidimensional variational problems and multivarifolds. The solution of Plateau’s problem in the homotopy class of a map of a multivarifold
- Chapter VII. The space of multivarifolds
- Chapter VIII. Parametrizations and parametrized multivarifolds
- Chapter IX. Problems of minimizing generalized integrands in classes of parametrizations and parametrized multivarifolds. A criterion for global minimality
- Chapter X. Criteria for global minimality
- Chapter XI. Globally minimal surfaces in regular orbits of the adjoint representation of the classical Lie groups