Two Reports on Harmonic Maps by James Eells (PDF)

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Ebook Info

  • Published: 1995
  • Number of pages: 228 pages
  • Format: PDF
  • File Size: 6.37 MB
  • Authors: James Eells

Description

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, σ-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and Kählerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

User’s Reviews

Editorial Reviews: From the Publisher Harmonic maps between Riemannian manifolds are solutions ofsystems of nonlinear partial differential equations which appear indifferent contexts of differential geometry. They include holomorphicmaps, minimal surfaces, s-models in physics. Recently, they havebecome powerful tools in the study of global properties of Riemannianand Kohlerian manifolds. A standard reference for this subject isa pair of Reports, published in 1978 and 1988 by James Eells and LucLemaire. This book presents these two reports in a single volume witha brief supplement reporting on some recent developments in thetheory. It is both an introduction to the subject and a unique sourceof references, providing an organized exposition of results spreadthroughout more than 800 papers.

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