Spectral Theory in Riemannian Geometry

Released on by Olivier Lablée
preview-18

  • Spectral Theory in Riemannian Geometry Book Detail

  • Author : Olivier Lablée
  • Release Date : 2015
  • Publisher : Erich Schmidt Verlag GmbH & Co. KG
  • Genre : Linear operators
  • Pages : 204
  • ISBN 13 : 9783037191514
  • File Size : 3,3 MB
DOWNLOAD BOOK

Spectral Theory in Riemannian Geometry by Olivier Lablée PDF Summary

Book Description: Spectral theory is a diverse area of mathematics that derives its motivations, goals, and impetus from several sources. In particular, the spectral theory of the Laplacian on a compact Riemannian manifold is a central object in differential geometry. From a physical point a view, the Laplacian on a compact Riemannian manifold is a fundamental linear operator which describes numerous propagation phenomena: heat propagation, wave propagation, quantum dynamics, etc. Moreover, the spectrum of the Laplacian contains vast information about the geometry of the manifold. This book gives a self-contained introduction to spectral geometry on compact Riemannian manifolds. Starting with an overview of spectral theory on Hilbert spaces, the book proceeds to a description of the basic notions in Riemannian geometry. Then its makes its way to topics of main interests in spectral geometry. The topics presented include direct and inverse problems. Direct problems are concerned with computing or finding properties on the eigenvalues while the main issue in inverse problems is knowing the spectrum of the Laplacian, can we determine the geometry of the manifold? Addressed to students or young researchers, the present book is a first introduction to spectral theory applied to geometry. For readers interested in pursuing the subject further, this book will provide a basis for understanding principles, concepts, and developments of spectral geometry.

Disclaimer: www.yourbookbest.com does not own Spectral Theory in Riemannian Geometry 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.

Spectral Theory in Riemannian Geometry

Spectral Theory in Riemannian Geometry

File Size : 79,79 MB
Total View : 9202 Views
DOWNLOAD

Spectral theory is a diverse area of mathematics that derives its motivations, goals, and impetus from several sources. In particular, the spectral theory of th