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Real hypersurfaces in CP2 with constant Reeb sectional curvature
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2020-08-31 , DOI: 10.1016/j.difgeo.2020.101683
Yaning Wang

We prove that the structure Jacobi operator Rξ on a real hypersurface M in the complex projective space CP2 satisfies Rξ+κϕ2=0 with κR (or equivalently, constant Reeb sectional curvature) if and only if either M is of type (A) or M is locally congruent to a non-homogeneous Hopf hypersurface with vanishing Hopf principal curvature.



中文翻译:

真正的超曲面 CP2 里氏截面曲率恒定

我们证明了Jacobi算子的结构 [Rξ在复射影空间中的实超曲面MCP2 满足 [Rξ+κϕ2=0κ[R(或等效地,恒定的Reeb截面曲率),且仅当M为(A)类型或M在局部上与Hopf主曲率消失的非均匀Hopf超曲面一致时。

更新日期:2020-08-31
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