Positively curved 7-dimensional manifolds
classification
dg-ga
math.DG
keywords
compactdimensionalmanifoldsactionadmitbiggercohomogeneitycurvature
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We deal with seven dimensional compact Riemannian manifolds of positive curvature which admit a cohomogeneity one action by a compact Lie group G. We prove that the manifold is diffeomorphic to a sphere if the dimension of the semisimple part of G is bigger than 6.
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