Departmental Bulletin Paper PROJECTIVELY FLAT IMMERSIONS OF HERMITIAN SYMMETRIC SPACES OF COMPACT TYPE

Koga, Isami

70 ( 1 )  , pp.93 - 103 , 2016-05-19 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
In this article, we define a projectively flat map of a compact Kähler manifold into the complex Grassmannian manifold, which is a kind of extension of a holomorphic map into the complex projective space. Then we show a rigidity theorem of a holomorphic isometric projectively flat immersion of Hermitian symmetric spaces of compact type. As an application, we classify holomorphic isometric projectively flat immersions of compact Kähler manifolds with parallel second fundamental form.

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