A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form

Isami Koga; Yasuyuki Nagatomo

arxiv: 1304.3993 · v2 · pith:QGATKV6Xnew · submitted 2013-04-15 · 🧮 math.DG

A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form

Isami Koga , Yasuyuki Nagatomo This is my paper

classification 🧮 math.DG

keywords submanifoldscomplexgrassmanniancertaincharacterizationcompactextensionform

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We prove an extension of a theorem of A.Ros on a characterization of seven compact Kaehler submanifolds by holomorphic pinching to certain submanifolds of the complex Grassmannian manifolds.

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A Study of Submanifolds of the Complex Grassmannian Manifold with Parallel Second Fundamental Form

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