Extrinsic hyperspheres in manifolds with special holonomy

被引：3
|
作者：
Jentsch, Tillmann [1 ]
Moroianu, Andrei [2 ]
Semmelmann, Uwe [1 ]
机构：
[1] Univ Stuttgart, Fachbereich Math, Inst Geometrie & Topol, D-70569 Stuttgart, Germany
[2] Ecole Polytech, CNRS, CMLS, UMR 7640, F-91128 Palaiseau, France
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2013年 / 31卷 / 01期
关键词：
Extrinsic spheres; Special holonomy; Hypersurfaces; COMPACT SYMMETRIC-SPACES; SPHERES; HYPERSURFACES; PRODUCTS;
D O I：
10.1016/j.difgeo.2012.10.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe extrinsic hyperspheres and totally geodesic hypersurfaces in manifolds with special holonomy. In particular we prove the nonexistence of extrinsic hyperspheres in quaternion-Kahler manifolds. We develop a new approach to extrinsic hyperspheres based on the classification of special Killing forms. (c) 2012 Elsevier B.V. All rights reserved.
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页码：104 / 111
页数：8
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