Einstein Manifolds

Einstein Manifolds

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Einstein's equations stem from General Relativity. In the context of Riemannian manifolds, an independent mathematical theory has developed around them. Recently, it has produced several striking results, which have been of great interest also to physicists. This Ergebnisse volume is the first book which presents an up-to-date overview of the state-of-the-art in this field. Einstein Manifolds is a successful attempt to organize the abundant literature, with emphasis on examples. Parts of it can be used separately as introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals. The book is addressed both to research mathematicians, and to graduate studentsThe answers are summarized in Table 1. ... To achieve that take as a starting Kahler manifold some algebraic hypersurface of degree m + 2 in CPm+1; its first ... But this is forbidden by results on the topology of algebraic objects, see [Sea 2].

Title:Einstein Manifolds
Author: Arthur L. Besse
Publisher:Springer Science & Business Media - 1987-01

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