Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka--Webster connection | Zendy

Juan de Dios Pérez | Zendy; Young Jin Suh | Zendy; Changhwa Woo | Zendy

Open Access

Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka--Webster connection

Author(s) -

Juan de Dios Pérez,

Young Jin Suh,

Changhwa Woo

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1403-74

Subject(s) - mathematics , connection (principal bundle) , operator (biology) , curvature , pure mathematics , plane (geometry) , trace (psycholinguistics) , complex plane , mathematical analysis , field (mathematics) , geometry , biochemistry , chemistry , linguistics , philosophy , repressor , transcription factor , gene

We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose shape operator $A$ is generalized Tanaka-Webster recurrent if the principal curvature of the structure vector field is not equal to trace(A).

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