Minimal Submanifolds in Pseudo Riemannian Geometry is popular PDF and ePub book, written by Henri Anciaux in 2011, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Minimal Submanifolds in Pseudo Riemannian Geometry can be Read Online from any device for your convenience.
Minimal Submanifolds in Pseudo Riemannian Geometry Book PDF 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 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.
Detail Book of Minimal Submanifolds in Pseudo Riemannian Geometry PDF
- Author : Henri Anciaux
- Release : 30 June 2024
- Publisher : World Scientific
- ISBN : 9789814291248
- Genre : Mathematics
- Total Page : 184 pages
- Language : English
- PDF File Size : 13,8 Mb
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