Sectional curvatures of a diagonal family of \(\text{Sp} (n+1)\)-invariant metrics on \((4n+3)\)-dimensional spheres

DOI10.1007/BF02104710zbMath0867.53045MaRDI QIDQ1920839

D. E. Vol'per

Publication date: 15 October 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

sectional curvatureinjectivity radiuspinchinghomogeneous sphere

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (9)

The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow ⋮ Generalized normal homogeneous spheres ⋮ Generalized normal homogeneous spheres \(S^{4n+3}\) with greatest connected motion group \(\mathrm{Sp}{(n+1)\cdot \mathrm{U}(1)}\) ⋮ Generalized normal homogeneous Riemannian metrics on spheres and projective spaces ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Positively curved homogeneous metrics on spheres ⋮ Homogeneous metrics with nonnegative curvature ⋮ Sectional curvatures of nonstandard metrics on \(\mathbf {{CP}}^{2n+1}\) ⋮ A family of metric on the 15-dimensional sphere

Cites Work

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