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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

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

Published online June 23, 2009

Copyright © Kyungpook Mathematical Journal.

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

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