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On Real Hypersurfaces in a Complex Space Form

On Real Hypersurfaces in a Complex Space Form
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Lagrangian Bonnet Problems in Complex Space Forms

Acta Mathematica Sinica, English Series, 2019
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He, Huixia, Ma, Hui, Wang, Erxiao
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Isotropic Immersions with Low Codimension of Complex Space Forms into Real Space Forms

Canadian Mathematical Bulletin, 2004
AbstractThe main purpose of this paper is to determine isotropic immersions of complex space forms into real space forms with low codimension. This is an improvement of a result of S. Maeda.
Nobutaka Boumuki
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On Ruled Real Hypersurfaces in Complex Space Forms

Geometriae Dedicata, 1999
An immersed real hypersurface of a complex space form \(M_\kappa^{m+1}\) of constant holomorphic sectional curvature \(\kappa\) is said to be ruled if it is foliated by totally geodesic complex hypersurfaces of \(M_\kappa^{m+1}\). Such hypersurfaces can be parametrized by maps of the form \(f:\mathbb{R}\times M_\kappa^m\to M^{m+1}_\kappa\) for which ...
Helmut Reckziegel
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Curvature of Hopf Hypersurfaces in a Complex Space Form

Results in Mathematics, 2010
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Makoto Kimura, Jong Taek Cho
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On the existence of generalized complex space forms

Israel Journal of Mathematics, 1989
Let \((M,g,J)\) be an almost Hermitian manifold such that its Riemannian curvature tensor has the expression \(R=f\pi_ 1+h\pi_ 2\) where \(f,h\in C^{\infty}\) and \[ \pi_ 1(X,Y)Z = g(X,Z)Y-g(Y,Z)X, \] \[ \pi_ 2(X,Y)Z = g(JX,Z)JY-g(JY,Z)JX+2g(JX,Y)JZ \] for arbitrary vector fields \(X\), \(Y\), \(Z\).
Zbigniew Olszak
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On a Lorentzian Complex Space Form

National Academy Science Letters, 2020
The aim of the present paper is to study the theory of general relativity in a Lorentzian Kahler space. In this paper, we have considered the Lorentzian complex space form with constant sectional curvature and proved that a Lorentzian complex space form satisfying Einstein’s field equation is a Ricci semi-symmetric space and the energy–momentum tensor ...
Pankaj Pandey, B. B. Chaturvedi
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