Journals / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 1

A characterization of certain geodesic hyperspheres in complex projective space

Pages
139–153
DOI
—

Abstract

We characterize geodesic hyperspheres of radius r such that cot2(r)=\frac{1}{2} as the unique real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a pair of conditions.

Özet

We characterize geodesic hyperspheres of radius r such that cot2(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