Isotropic submanifolds with pointwise planar normal sections
Tóm tắt
Submanifolds of Em with pointwise planar normal sections were studied in [1] and others. In the present paper, we will prove that an isotropic submanifold in Em with pointwise planar normal sections is isometric to a symmetric space of rank one or to a Euclidean space. Moreover we will determine such surfaces in Em with the above assumptions.
Tài liệu tham khảo
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LITTLE, J.A.: Manifolds with planar geodesics, J. Diff. Geom.11 (1976), 265–285.
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