Showing papers on "Geometry and topology published in 1975"

An introduction to differentiable manifolds and Riemannian geometry

Abstract: This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue to serve as the standard text for students and professionals in the field.Differential manifolds are the underlying objects of study in much of advanced calculus and analysis. Topics such as line and surface integrals, divergence and curl of vector fields, and Stoke's and Green's theorems find their most natural setting in manifold theory. Riemannian plane geometry can be visualized as the geometry on the surface of a sphere in which "lines" are taken to be great circle arcs.

Diffusion processes and riemannian geometry

Abstract: This paper studies the asymptotic behaviour as of the transition density of a diffusion process on a smooth manifold. The results are stated in the language of differential geometry. We look at applications of the asymptotic formulae to the local structure of diffusion processes and to spectral theory.

A further method in global differential geometry

Abstract: We investigate (0, 2)-tensors, which fulfil Codazzi-equations, on closed Riemannian manifolds with nonnegative sectional curvature, and give various applications in global differential geometry.