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20002024
most citedExamples of Riemannian Manifolds with non-negative sectional curvature

67 citations · 155 across the 26 of their papers we have counts for

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math.DG2008★ 18 cited

A positively curved manifold homeomorphic to TS

Karsten Grove, Luigi Verdiani, Wolfgang Ziller

We construct a new 7-dimensional manifold with positive sectional curvature which is 2-connected with π_3=\Z_2 and admits an isometric group action with one dimensional quotient.

math.DG2008★ 5 cited

Lifting Group Actions and Nonnegative Curvature

Karsten Grove, Wolfgang Ziller

We show that all vector bundles over CP^2 which are not spin admit a complete metric with nonnegative sectional curvature. In the proof we construct a nonnegatively curved metric o…