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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 \(X\), \(Y\), \(Z\).
openaire   +1 more source

NOTES ON REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Bulletin of the Korean Mathematical Society, 2015
Jong Taek Cho
exaly  

Length spectrum of geodesic spheres in a non-flat complex space form

Journal of the Mathematical Society of Japan, 2002
Toshiaki Adachi   +2 more
exaly  

A basic inequality and new characterization of Whitney spheres in a complex space form

Israel Journal of Mathematics, 2005
Haizhong Li, Luc Vrancken
exaly  

SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM

Bulletin of the Korean Mathematical Society, 2010
Dae-Ho; Jin
exaly  

Codimension reduction and second fundamental form of CR submanifolds in complex space forms

Journal of Mathematical Analysis and Applications, 2009
Mirjana Djorić
exaly  

Jacobi operators along the structure flow on real hypersurfaces in a nonflat complex space form

Tsukuba Journal of Mathematics, 2009
U-Hang Ki, Ryoichi Takagi
exaly  

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