Results 271 to 280 of about 14,561,729 (295)

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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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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Real Hypersurfaces in Complex Space Forms

2015
The study of real hypersurfaces in complex projective space CP n and complex hyperbolic space CH n began at approximately the same time as Munzner’s work on isoparametric hypersurfaces in spheres. A key early work was Takagi’s classification [669] in 1973 of homogeneous real hypersurfaces in CP n .
Thomas E. Cecil, Patrick J. Ryan
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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  

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  

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

Journal of the Mathematical Society of Japan, 2002
Toshiaki Adachi, Sadahiro Maeda
exaly  

Differential forms on complex spaces

2005
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CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM USED BY THE ζ-PARALLEL STRUCTURE JACOBI OPERATOR

Honam Mathematical Journal, 2008
U-Hang Ki
exaly