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Homogeneous Einstein metrics on Aloff-Wallach spaces

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Publication:688084
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DOI10.1016/0926-2245(93)90028-YzbMath0779.53031OpenAlexW2068324307WikidataQ115362681 ScholiaQ115362681MaRDI QIDQ688084

Zdeněk Vlášek, Oldřich Kowalski

Publication date: 9 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(93)90028-y


zbMATH Keywords

positive sectional curvatureEinstein metricsAloff-Wallach spaces


Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)


Related Items (4)

Homogeneous Einstein-Randers metrics on Aloff-Wallach spaces ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Compact homogeneous Einstein 7-manifolds ⋮ Spin(7) metrics of cohomogeneity one with Aloff-Wallach spaces as principal orbits



Cites Work

  • Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
  • Some examples of homogeneous Einstein manifolds in dimension seven
  • Nonconnected Moduli Spaces of Positive Sectional Curvature Metrics
  • An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures


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