Synopses & Reviews
This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." Nature. 1962 edition.
Synopsis
A systematic and self-contained treatment, this revised edition examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. Four appendixes deal with holomorphic bisectional curvature, Gauss-Bonnet theorem and its applications, and Bochners Lemma.
Synopsis
Revised edition examines topology of differentiable manifolds; curvature, homology of Riemannian manifolds; compact Lie groups; complex manifolds; curvature, homology of Kaehler manifolds. New Preface. Four new appendixes.
Description
Includes bibliographical references (p. 383-386) and indexes.