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Real Hypersurfaces in Complex Projective Space Whose Structure Jacobi Operator is Lie đ”»-parallel

Published online by Cambridge University Press:  20 November 2018

Juan de Dios PĂ©rez  and
Young Jin Suh
Juan de Dios PĂ©rez
Affiliation:
Departamento de GeometrĂ­a y TopologĂ­a, Universidad de Granada, 18071, Granada, Spain e-mail: jdperez@ugr.es
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea e-mail: e-mail: yjsuh@knu.ac.kr
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Abstract

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We prove the non-existence of real hypersurfaces in complex projective space whose structure Jacobi operator is Lie $\mathbb{D}$-parallel and satisfies a further condition.

Keywords

53C1553C40complex projective spacereal hypersurfacestructure Jacobi operator

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 306 - 316
Copyright
Copyright © Canadian Mathematical Society 2013

References

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