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Extrinsic hyperspheres in manifolds with special holonomy

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arxiv 1107.1603 v2 pith:YSSLA2GX submitted 2011-07-08 math.DG

Tillmann Jentsch , Andrei Moroianu , Uwe Semmelmann This is my paper · ORCID
classification math.DG
keywords extrinsichyperspheresmanifoldsspecialholonomyapproachclassificationdescribe
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We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kaehler manifolds. We develop a new approach to extrinsic hyperspheres based on the classification of special Killing forms.

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