The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds

ISBN-13: 9781860947858 / Angielski / Twarda / 2007 / 388 str.

Peter B. Gilkey; Peter B. Gilkey

Opis

Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov-Tsankov-Videv theory.