Weakly Einstein real hypersurfaces in CP2 and CH2

Y Wang, Y Zhang - Journal of Geometry and Physics, 2022 - Elsevier
We classify real hypersurfaces in a nonflat complex space form of complex dimension two
which are weakly or strongly Einstein. Specifically, first we prove that a Hopf hypersurface of …

Levi-flat real hypersurfaces in nonflat complex planes

Y Wang, Y Zhou - Journal of Geometry and Physics, 2024 - Elsevier
Let M be a non-ruled weakly 2-Hopf real hypersurface in a nonflat complex plane whose
mean curvature is invariant along the Reeb flow. In this paper, it is proved that M is Levi-flat if …

Generalized D-Einstein real hypersurfaces with constant coefficient

Y Wang, Y Zhang - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper, we prove that a real hypersurface in a complex projective plane is generalized
D-Einstein with constant coefficient if and only if it is pseudo-Einstein. This, together with the …

Real hypersurfaces in ℂP2 and ℂH2 with constant scalar curvature

Y Wang - Advances in Geometry, 2022 - degruyter.com
In this paper, Hopf hypersurfaces in a complex projective plane ℂ P 2 (c) or a complex
hyperbolic plane ℂ H 2 (c) with constant scalar curvature are classified. For a non-Hopf …

GTW parallel structure Jacobi operator of real hypersurfaces in nonflat complex space forms

Y Wang, P Wang - Journal of Geometry and Physics, 2023 - Elsevier
We classify real hypersurfaces in nonflat complex space forms of complex dimension two
whose structure Jacobi operator is parallel with respect to the generalized Tanaka-Webster …

Some problems on ruled hypersurfaces in nonflat complex space forms

O Pérez-Barral - Results in Mathematics, 2020 - Springer
We study ruled real hypersurfaces whose shape operators have constant squared norm in
nonflat complex space forms. In particular, we prove the nonexistence of such hypersurfaces …

[HTML][HTML] Ruled hypersurfaces with constant mean curvature in complex space forms

M Dominguez-Vazquez, O Perez-Barral - Journal of Geometry and Physics, 2019 - Elsevier
Ruled hypersurfaces with constant mean curvature in complex space forms - ScienceDirect Skip to
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Levi-umbilical weakly 2-Hopf hypersurface in nonflat complex planes

Y Wang, Y Zhou - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this paper, it is proved that a weakly 2-Hopf real hypersurface in nonflat complex planes
with constant mean curvature is Levi-umbilical if and only if it is locally congruent to either an …

On 2-Hopf Hypersurfaces in Nonflat Complex Planes

Q Cui, Z Hu - Mediterranean Journal of Mathematics, 2023 - Springer
In this paper, we study 2-Hopf hypersurfaces in nonflat complex planes M¯ 2 (c). First, we
prove that an η-parallel 2-Hopf hypersurface in nonflat complex planes is a ruled …

Three dimensional 2-Hopf hypersurfaces with harmonic curvature

Y Wang - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
Three dimensional 2-Hopf hypersurfaces with harmonic curvature - ScienceDirect Skip to
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