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Extrinsic hyperspheres in manifolds with special holonomy
Universitat Stuttgart Andrei Moroianu, CMLS
2011/8/30
Abstract: We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaeh...
A theorem of Lawson and Simons states that the only stable minimal submanifolds in CPn are complex submanifolds. We generalize their result to the cases of HPn and OP2. Our approach gives a unified vi...