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Weakly symmetric spaces in complex and quaternionic space forms

Archiv der Mathematik, 1995
We prove that some classes of generic submanifolds which include homogeneous real hypersurfaces in complex and quaternionic space forms are weakly symmetric spaces. In our method, the reflection with respect to a submanifold plays a central role.
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On real hypersurfaces in a complex space form

2016
Let \(M(c)\) be a Kähler manifold of non-vanishing constant holomorphic sectional curvature \(c\) and with real dimension \(2n\geq 6\). Furthermore, let \(P\) be a real hypersurface, \(N\) a local unit normal vector field and \(R\) the Riemann curvature tensor of \(P\).
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The volume of tubes in complex space forms

Acta Mathematica Sinica, 1992
fsing Jacobi vector fields the author derives a formula for the volume of a tube about a complex submanifold in a complex space form. He also provides a proof of the known result stating that the volumes of the tubes of radius \(r\) about two isometric complex submanifolds are the same. This problem has already been treated, also by using Jacobi vector
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Higher-order Minkowski formula in complex space forms

Annals of Global Analysis and Geometry, 2020
Dong Gao
exaly  

Conditions of Parallelism of $^{*}$-Ricci Tensor of Three Dimensional Real Hypersurfaces in Non-flat Complex Space Forms

Taiwanese Journal of Mathematics, 2017
George Kaimakamis   +1 more
exaly  

p-harmonic 1-forms on totally real submanifolds in complex space forms

Complex Variables and Elliptic Equations
Nguyen Thac Dung
exaly  

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