Titlebook: Einstein Manifolds; Arthur L. Besse Book 1987 Springer-Verlag Berlin Heidelberg 1987 Einstein.Manifolds.Riemannian geometry.Submersion.Top

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Riemannian Functionals,y can be recovered from the action (math) (total scalar curvature). His paper contains prophetic ideas about the role played by the diffeomorphism group, which he already considered as a “gauge group”.

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Book 1987 which presents an up-to-date overview of the state of the art in this field. "Einstein Manifold"s 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..

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https://doi.org/10.1007/978-3-642-29546-1these circumstances, it has been possible to exhibit some existence theorems of Einstein metrics in the Kähler framework (Calabi-Yau and Aubin-Calabi-Yau theorems) which have no counterpart in general Riemannian geometry.

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Geburtshilfliche Operationslehred . and a metric tensor field . which is a positive definite bilinear symmetric differential form on .. In other words, we associate with every point . of . a Euclidean structure .. on the tangent space ... of . at . and require the association . ↦ .. to be ... We say that . is a Riemannian . on ..

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Book 1987em. 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 Manifold"s is a successful attempt to organize the abundant li