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REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM

Published online by Cambridge University Press:  21 October 2009

U-HANG KI
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu 702-701, Korea (email: uhangki2005@yahoo.co.kr)
HIROYUKI KURIHARA
Affiliation:
Department of Liberal Arts and Engineering Sciences, Hachinohe National College of Technology, Hachinohe, Aomori 039-1192, Japan (email: kurihara-g@hachinohe-ct.ac.jp)
Corresponding
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Abstract

It is known that there are no real hypersurfaces with parallel structure Jacobi operators in a nonflat complex space form. In this paper, we classify real hypersurfaces in a nonflat complex space form whose structure Jacobi operator is cyclic-parallel.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM
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REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM
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