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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds Paperback - 1997

by Steven Rosenberg


From the publisher

This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The author develops the Atiyah-Singer index theorem and its applications (without complete proofs) via the heat equation method. Rosenberg also treats zeta functions for Laplacians and analytic torsion, and lays out the recently uncovered relation between index theory and analytic torsion. The text is aimed at students who have had a first course in differentiable manifolds, and the author develops the Riemannian geometry used from the beginning. There are over 100 exercises with hints.

Details

  • Title The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
  • Author Steven Rosenberg
  • Binding Paperback
  • Pages 188
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 1997-01-09
  • Features Bibliography
  • ISBN 9780521468312 / 0521468310
  • Weight 0.61 lbs (0.28 kg)
  • Dimensions 9.1 x 6.22 x 0.47 in (23.11 x 15.80 x 1.19 cm)
  • Library of Congress subjects Riemannian manifolds, Laplacian operator
  • Library of Congress Catalog Number 96044262
  • Dewey Decimal Code 516.373
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

by Steven Rosenberg

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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts, Series Number 31)

by Rosenberg, Steven

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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds

by Steven Rosenberg

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Paperback / softback. New. This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. It is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning.
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London...
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The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts, Series Number 31)

by Rosenberg, Steven

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LMSST: 31 Laplacian on Riemannian (London Mathematical Society Student Texts)
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LMSST: 31 Laplacian on Riemannian (London Mathematical Society Student Texts)

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