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Real Hypersurfaces in Complex Two-Plane Grassmannians with GTW Harmonic Curvature

Published online by Cambridge University Press:  20 November 2018

Juan de Dios Pérez ,
Young Jin Suh  and
Changhwa Woo
Juan de Dios Pérez
Affiliation:
Departamento de Geometria y Topologia, Universidad de Granada, 18071-Granada, Spain e-mail: jdperez@ugr.es
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea e-mail: yjsuh@knu.ac.krlegalgwch@knu.ac.kr
Changhwa Woo
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu 702-701, Republic of Korea e-mail: yjsuh@knu.ac.krlegalgwch@knu.ac.kr
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Abstract

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We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians with harmonic curvature with respect to the generalized Tanaka–Webster connection if they satisfy some further conditions.

Keywords

53C4053C15real hypersurfacescomplex two-plane GrassmanniansHopf hypersurfacegeneralized Tanaka–Webster connectionharmonic curvature
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 4 , 01 December 2015 , pp. 835 - 845
Copyright
Copyright © Canadian Mathematical Society 2015

References

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