Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan Parallel

Juan de Dios Perez; Florentino Garcia Santos

Original Article

Kyungpook Mathematical Journal 2009; 49(2): 211-219

Published online June 23, 2009

Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator Is Cyclic-Ryan Parallel

Juan de Dios Perez¹, Florentino Garcia Santos²

¹Departamento de Geometria y Topologia, Universidad de Granada, 18071 Granada, Spain
²Departamento de Geometria y Topologia, Universidad de Granada, 18071 Granada, Spain

Abstract

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Abstract

We classify real hypersurfaces in complex projective space whose structure Jacobi operator satisfies a certain cyclic condition.

Keywords: complex projective space, real hypersurface, structure Jacobi operator, cyclic Ryan parallelness