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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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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 \(X\), \(Y\), \(Z\).
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NOTES ON REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Bulletin of the Korean Mathematical Society, 2015
Jong Taek Cho, Cho Jong Taek
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   +2 more
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  

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