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By F. Tricerri,L. Vanhecke

The critical subject matter of this e-book is the theory of Ambrose and Singer, which provides for a hooked up, whole and easily attached Riemannian manifold an important and adequate for it to be homogeneous. it is a neighborhood which should be happy in any respect issues, and during this approach it's a generalization of E. Cartan's technique for symmetric areas. the most goal of the authors is to exploit this theorem and illustration concept to offer a type of homogeneous Riemannian constructions on a manifold. There are 8 sessions, and a few of those are mentioned intimately. utilizing the positive evidence of Ambrose and Singer many examples are mentioned with specified realization to the normal correspondence among the homogeneous constitution and the teams performing transitively and successfully as isometrics at the manifold.

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