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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...
Conformally flat Lorentzian manifolds with special holonomy
Conformally flat Lorentzian manifolds special holonomy
2010/11/23
Connected holonomy groups of conformally flat Lorentzian manifolds are classified. It is shown that among conformally flat Lorentzian manifolds there are two classes of spaces with special holonomy: ...
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...