This book is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra topology & manifold theory together with a chapter on the basic ideas of space-time manifolds & Einstein's theory. There is a detailed account of algebraic structures & tensor classification in general relativity & also of the relationships between the metric connection & curvature structures on space-times the latter
Includes:: chapters on holonomy & sectional curvature. An extensive study is provided of symmetries in general relativity including isometries homothetoes conformal symmetries & affine & curvature collineations. Several general properties of such symmetries are studied & an introductory chapter on transformation groups on manifolds is provided.