Extrinsic hyperspheres in manifolds with special holonomy

Details Extrinsic hyperspheres in manifolds with special holonomy Extrinsic hyperspheres in manifolds with special holonomy

2011-07-08

arxiv.org/abs/1107.1603v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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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