\(\mathrm{Sp}(2) / \mathrm{U}(1)\) and a positive curvature problem

DOI10.1016/J.DIFGEO.2015.08.002zbMath1326.53066arXiv1502.02755OpenAlexW102780287WikidataQ115355868 ScholiaQ115355868MaRDI QIDQ745031

Ming Xu, Joseph A. Wolf

Publication date: 12 October 2015

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

Full work available at URL: https://arxiv.org/abs/1502.02755

zbMATH Keywords

sectional curvatureRiemannian homogeneous spacepositively curved for commuting pairs

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30)

Related Items (6)

The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow ⋮ Towards the classification of odd-dimensional homogeneous reversible Finsler spaces with positive flag curvature ⋮ Reversible homogeneous Finsler metrics with positive flag curvature ⋮ Recent progress on homogeneous Finsler spaces with positive curvature ⋮ Normal homogeneous Finsler spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Normal homogeneous Finsler spaces
• Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Even dimensional homogeneous Finsler spaces with positive flag curvature

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