Positively curved homogeneous metrics on spheres

DOI10.1007/s00209-008-0332-7zbMath1230.53049arXiv0707.3056OpenAlexW2066934112WikidataQ125704709 ScholiaQ125704709MaRDI QIDQ1006809

Luigi Verdiani, Wolfgang Ziller

Publication date: 26 March 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3056

zbMATH Keywords

sphereshomogeneous metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (17)

Geometrically formal homogeneous metrics of positive curvature ⋮ The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow ⋮ Generalized normal homogeneous spheres ⋮ Curvatures of homogeneous Randers spaces ⋮ Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\) ⋮ Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature ⋮ Recent progress on homogeneous Finsler spaces with positive curvature ⋮ Normal homogeneous Finsler spaces ⋮ Generalized normal homogeneous Riemannian metrics on spheres and projective spaces ⋮ Jacobi relations on naturally reductive spaces ⋮ Homogeneous \((\alpha, \beta)\)-spaces with positive flag curvature and vanishing S-curvature ⋮ Strongly positive curvature ⋮ An exotic \({T_{1}\mathbb{S}^4}\) with positive curvature ⋮ Flag manifolds with strongly positive curvature ⋮ Homogeneous metrics with nonnegative curvature ⋮ Instantons and Killing spinors ⋮ On the Ricci flow of homogeneous metrics on spheres

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