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dg-ga1997
Positively curved 7-dimensional manifolds
Fabio Podesta, Luigi Verdiani
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 dif…
dg-ga1997
Totally geodesic orbits of isometries
Fabio Podesta, Luigi Verdiani
We study cohomogeneity one Riemannian manifolds and we establish some simple criterium to test when a singular orbit is totally geodesic. As an application, we classify compact, po…