Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition by Paul Baird (PDF)

1

 

Ebook Info

  • Published: 2003
  • Number of pages: 536 pages
  • Format: PDF
  • File Size: 59.28 MB
  • Authors: Paul Baird

Description

This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve Laplace’s equation. They can be characterized as harmonic maps which satisfy an additional first order condition. Examples include harmonic functions, conformal mappings in the plane, and holomorphic functions with values in a Riemann surface. There are connections with many concepts in differential geometry, for example, Killing fields, geodesics, foliations, Clifford systems, twistor spaces, Hermitian structures, iso-parametric mappings, and Einstein metrics and also the Brownain pathpreserving maps of probability theory. Giving a complete account of the fundamental aspects of the subject, this book is self-contained, assuming only a basic knowledge of differential geometry.

User’s Reviews

Editorial Reviews: About the Author Paul Baird is a Professeur de Mathematiques, Universite de Bretagne Occidentale, Brest. John C. Wood is a Professor of Pure Mathematics, University of Leeds.

Reviews from Amazon users which were colected at the time this book was published on the website:

Keywords

Free Download Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition in PDF format
Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition PDF Free Download
Download Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition 2003 PDF Free
Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition 2003 PDF Free Download
Download Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition PDF
Free Download Ebook Harmonic Morphisms between Riemannian Manifolds (London Mathematical Society Monographs, 29) 1st Edition

Previous articleClassical Invariant Theory (London Mathematical Society Student Texts Book 44) 1st Edition by Peter J. Olver (PDF)
Next articleGeometric Invariant Theory (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, 34) 3rd Edition by David Mumford (PDF)