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Weakly symmetric Riemannian manifolds with reductive isometry group

O. S. Yakimova

M. V. Lomonosov Moscow State University

Abstract: A classification of non-symmetric weakly symmetric Riemannian manifolds with reductive symmetry group is obtained. In particular, all compact weakly symmetric Riemannian manifolds are described. Many new examples of weakly symmetric manifolds are constructed.

UDC: 512.816

MSC: Primary 53C35, 53C30; Secondary 20Gxx

Received: 15.11.2002

DOI: 10.4213/sm817

 English version: Sbornik: Mathematics, 2004, 195:4, 599–614

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