Extrinsic hyperspheres in manifolds with special holonomy
Differential Geometry
2019-01-08 v2
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-Kaehler manifolds. We develop a new approach to extrinsic hyperspheres based on the classification of special Killing forms.
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Cite
@article{arxiv.1107.1603,
title = {Extrinsic hyperspheres in manifolds with special holonomy},
author = {Tillmann Jentsch and Andrei Moroianu and Uwe Semmelmann},
journal= {arXiv preprint arXiv:1107.1603},
year = {2019}
}
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