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math.DGNov 12, 2014
31
citations (OpenAlex)
authors
  • Yu. G. Nikonorov
institutions
  • Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences"
  • Russian Academy of Sciences
arXiv abstractPDF
paper

Classification of generalized Wallach spaces

arXiv:1411.3131 · doi:10.1007/s10711-015-0119-z

Abstract

In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.

18 pages, 1 figure

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  • Invariant Einstein metrics on Ledger-Obata spaces
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  • Invariant Einstein metrics on generalized Wallach spaces
  • Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds
  • Diameter and Laplace eigenvalue estimates for compact homogeneous Riemannian manifolds
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