A characterization of certain geodesic hyperspheres in complex projective space

Authors: JUAN DE DIOS PEREZ, Y OUNG JIN SUH

Abstract: 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.

Keywords: Complex projective space, real hypersurface, structure Jacobi operator, Lie derivative

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