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

Authors

JUAN DE DIOS PEREZ
YOUNG JIN SUH
CHANGHWA WOO

Abstract

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).

DOI

10.3906/mat-1403-74

Keywords

Real hypersurfaces, complex two-plane Grassmannians, Hopf hypersurface, generalized Tanaka-Webster connection, recurrent shape operator

First Page

313

Last Page

321

Recommended Citation

PEREZ, J. D, SUH, Y. J, & WOO, C (2015). Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka-Webster connection. Turkish Journal of Mathematics 39 (3): 313-321. https://doi.org/10.3906/mat-1403-74