Geometry of Harmonic Maps

preview-18
  • Geometry of Harmonic Maps Book Detail

  • Author : Yuanlong Xin
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 252
  • ISBN 13 : 1461240840
  • File Size : 19,19 MB

Geometry of Harmonic Maps by Yuanlong Xin PDF Summary

Book Description: Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of harmonic maps. For example, the book excludes a large part of the theory of harmonic maps from 2-dimensional domains, where the methods are quite different from those discussed here. The first chapter consists of introductory material. Several equivalent definitions of harmonic maps are described, and interesting examples are presented. Various important properties and formulas are derived. Among them are Bochner-type formula for the energy density and the second varia tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theory. Chapter 2 is devoted to the conservation law of harmonic maps. Em phasis is placed on applications of conservation law to the mono tonicity formula and Liouville-type theorems.

Disclaimer: www.yourbookbest.com does not own Geometry of Harmonic Maps books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Geometry of Harmonic Maps

Geometry of Harmonic Maps

File Size : 86,86 MB
Total View : 1728 Views
DOWNLOAD

Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics

Harmonic Maps and Differential Geometry

Harmonic Maps and Differential Geometry

File Size : 80,80 MB
Total View : 7402 Views
DOWNLOAD

This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers

Two Reports on Harmonic Maps

Two Reports on Harmonic Maps

File Size : 76,76 MB
Total View : 9933 Views
DOWNLOAD

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differenti

Harmonic Maps Into Homogeneous Spaces

Harmonic Maps Into Homogeneous Spaces

File Size : 82,82 MB
Total View : 1538 Views
DOWNLOAD

Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been m