Real Hypersurfaces in Complex Two-Plane Grassmannians

被引：0
|
作者：
Jürgen Berndt
Young Jin Suh
机构：
[1]  University of Hull,
[2] United Kingdom,undefined
[3]  Kyungpook National University,undefined
[4] Taegu,undefined
[5] South Korea,undefined
来源：
Monatshefte für Mathematik | 1999年 / 127卷
关键词：
Key words: Complex Grassmannians; real hypersurfaces; tubes; shape operator; Kähler structure; quaternionic Kähler structure; 1991 Mathematics Subject Classification: 53B25; 53C15; 53C35;
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学科分类号：
摘要：
 The complex two-plane Grassmannian G2(Cm+2 in equipped with both a Kähler and a quaternionic Kähler structure. By applying these two structures to the normal bundle of a real hypersurface M in G2(Cm+2 one gets a one- and a three-dimensional distribution on M. We classify all real hypersurfaces M in G2Cm+2, m≥3, for which these two distributions are invariant under the shape operator of M.
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页码：1 / 14
页数：13
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