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CRC Press Routledge Spectral Geometry and Riemannian Submersions Book

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Description

Explore the advanced mathematical landscape of spectral geometry with this text from Routledge. Part of the Studies in Advanced Mathematics series, this work examines the relationship between the spectrum of the p-form valued Laplacian on different manifolds. Specifically, it investigates the connection between the spectrum of Dp on Y and Dp on Z when a Riemannian submersion exists between them. The text provides a comprehensive foundation by covering basic differential geometry and Laplace-type operators. It focuses on the form-valued Laplacian within the class of smooth compact manifolds without boundary. Readers will study rigidity theorems and the conditions that ensure specific mathematical properties. This book serves as a standard-setting resource for those researching Riemannian submersions and the Gromov-Lawson Conjecture.

Key Features

This Routledge publication explores the spectral geometry of Riemannian submersions.

The text examines the relationship between the spectrum of Dp on Y and Dp on Z.

Includes essential background on basic differential geometry and Laplace-type operators.

Addresses rigidity theorems and specific conditions within the class of smooth compact manifolds.

Part of the Studies in Advanced Mathematics series for specialized research.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
27 July 1999
Listed Since
05 February 2007

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