Scalar curvature of a class of minimal submanifolds in rank 1 symmetric spaces

Zhangjie Liu

Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 417 -438.

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 417 -438. DOI: 10.1007/s11464-007-0025-2
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Scalar curvature of a class of minimal submanifolds in rank 1 symmetric spaces

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Abstract

In this paper, we give some rigidity theorems which concern with compact minimal coisotropic submanifolds in ℂPn, compact minimal quaternionic coisotropic submanifolds in ℚPn and compact minimal hypersurfaces in P2 (Cay).

Keywords

Rank 1 symmetric space / minimal submanifold / coisotropic / scalar curvature / rigidity

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Zhangjie Liu. Scalar curvature of a class of minimal submanifolds in rank 1 symmetric spaces. Front. Math. China, 2007, 2(3): 417-438 DOI:10.1007/s11464-007-0025-2

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