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Full-Text Articles in Physical Sciences and Mathematics
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh
A Characterization Of Certain Geodesic Hyperspheres In Complex Projective Space, Juan De Dios Perez, Y Oung Jin Suh
Turkish Journal of Mathematics
We characterize geodesic hyperspheres of radius r such that cot^2(r)=\frac{1}{2} as the unique real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a pair of conditions.
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator, Dong Ho Lim, Woon Ha Sohn, Seong Soo Ahn
The Property Of Real Hypersurfaces In 2-Dimensional Complex Space Form With Ricci Operator, Dong Ho Lim, Woon Ha Sohn, Seong Soo Ahn
Turkish Journal of Mathematics
Let M be a real hypersurface in a complex space form M_2(c), c \neq 0. In this paper, we prove that S \phi=\phi S on M if and only if M is pseudo-Einstein.