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math.DG2012★ 1 cited
The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank
Thomas Puettmann, Catherine Searle
We prove that the Euler characteristic of an even-dimensional compact manifold with positive (nonnegative) sectional curvature is positive (nonnegative) provided that the manifold…
math.DG2006★ 1 cited
A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications
Carlos Duran, Thomas Puettmann
We recognize the Gromoll-Meyer sphere Sigma^7 as the geodesic join of a simple closed geodesic and a minimal subsphere Sigma^5, which can be equivariantly identified with the Bries…