Curvature and Betti Numbers

by Salomon Trust, Kentaro Yano

Overview

A classic treatment of curvature and Betti numbers from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Product Details

ISBN-13:	9781400882205
Publisher:	Princeton University Press
Publication date:	03/02/2016
Series:	Annals of Mathematics Studies , #32
Sold by:	Barnes & Noble
Format:	eBook
Pages:	190
File size:	7 MB

Table of Contents

• Frontmatter, pg. i
• Preface, pg. v
• Contents, pg. vii
• Chapter I. Riemannian Manifold, pg. 2
• Chapter II. Harmonic and Killing Vectors, pg. 26
• Chapter III. Harmonic and Killing Tensors, pg. 59
• Chapter IV. Harmonic and Killing Tensors in Flat Manifolds, pg. 77
• Chapter V. Deviation from Flatness, pg. 81
• Chapter VI. Semi-simple Group Spaces, pg. 90
• Chapter VII. Pseudo-harmonic Tensors and Pseudo-Killing Tensors in Metric Manifolds with Torsion, pg. 97
• Chapter VIII. Kaehler Manifold, pg. 117
• Chapter IX. Supplements, pg. 170
• Bibliography, pg. 187
• Backmatter, pg. 192