Curvature and Betti Numbers

Abstract

*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