Minimal submanifolds in pseudo-Riemannian geometry / Henri Anciaux.

Format:

Book

Author/Creator:

Anciaux, Henri.

Language:

English

Subjects (All):

Submanifolds.

Riemannian manifolds.

Geometry, Riemannian.

Physical Description:

1 online resource (130 p.)

Edition:

1st ed.

Place of Publication:

Hackensack, N.J. : World Scientific, 2011.

Language Note:

English

Summary:

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 Riemann

Contents:

Foreword; Preface; Contents; Chapter 1 Submanifolds in pseudo-Riemannian geometry; Chapter 2 Minimal surfaces in pseudo-Euclidean space; Chapter 3 Equivariant minimal hypersurfaces in space forms; Chapter 4 Pseudo-K ̈ahler manifolds; Chapter 5 Complex and Lagrangian submanifolds in pseudo-K ̈ahler manifolds; Chapter 6 Minimizing properties of minimal submanifolds; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786613144058

9781283144056

1283144050

9789814291255

9814291250

OCLC:

740435767