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The volume of tubes in complex space forms
Acta Mathematica Sinica, 1992fsing 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, 1989Let \((M,g,J)\) 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, 2015Jong Taek Cho, Cho Jong Taek
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Length spectrum of geodesic spheres in a non-flat complex space form
Journal of the Mathematical Society of Japan, 2002Toshiaki Adachi +2 more
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Real hypersurfaces with Killing type operators in a nonflat complex space form
Journal of Geometry, 2017Yaning Wang, Wang Yaning
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A basic inequality and new characterization of Whitney spheres in a complex space form
Israel Journal of Mathematics, 2005Haizhong Li +2 more
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SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM
Bulletin of the Korean Mathematical Society, 2010Dae-Ho Jin
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Codimension reduction and second fundamental form of CR submanifolds in complex space forms
Journal of Mathematical Analysis and Applications, 2009Mirjana Djorić
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