A CONSTRUCTION OF CERTAIN LAGRANGIAN SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES

A CONSTRUCTION OF CERTAIN LAGRANGIAN SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES
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发表时间:
2013
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通讯作者:
Y. Ohnita
Y. Ohnita
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其他
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作者:
Y. Ohnita

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本文讨论了由复超二次曲面QN(C)中的拉格朗日子流形构造复射影空间CP中的拉格朗日子流形的方法。我们在单位标准球面上使用了一族齐次等参超曲面族,它与秩为2的黎曼对称对(SO(n+4),SO(2)×SO(n+2))有关。
In this paper we discuss a certain method to construct a family of Lagrangian submanifolds in a complex projective space CP from a Lagrangian submanifold in a complex hyperquadric Qn(C). We use a family of homogeneous isoparametric hypersurfaces in the unit standard sphere associated to the Riemannian symmetric pair (SO(n+4), SO(2)×SO(n+2)) of rank 2.