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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…