Real hypersurfaces with constant Phi-sectional curvature in complex projective space
Real hypersurfaces with constant Phi-sectional curvature in complex projective space
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复射影空间中具有恒定Phi截面曲率的实超曲面
DOI：
10.1016/j.difgeo.2019.101573
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发表时间：
2020
影响因子：
0.5
通讯作者：
Kimura Makoto
中科院分区：
文献类型：
--
作者：
Cho Jong Taek;Kimura Makoto
给出复射影空间中具有常截曲率的真实的超曲面的几何描述.除测地超曲面外，复射影空间中曲线或曲面在极映射下的像也可作为此类真实的超曲面。由此得到复射影平面上真实的超曲面M3的一个分类，使得结构向量M3是Ricci张量的一个特征向量.
We will give a geometric description of real hypersurfaces with constant ϕ-sectional curvature in complex projective space. Besides geodesic hypersurfaces, such real hypersurfaces are obtained as the image of either a curve or a surface in complex projective space under the polar map. As a consequence, we obtain a classification of real hypersurface M 3 in complex projective plane such that the structure vector ξ is an eigenvector of the Ricci tensor.