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

DOI

10.3906/mat-1403-74

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).

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, JUAN DE DIOS; SUH, YOUNG JIN; and WOO, CHANGHWA (2015) "Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka-Webster connection," Turkish Journal of Mathematics: Vol. 39: No. 3, Article 2. https://doi.org/10.3906/mat-1403-74
Available at: https://journals.tubitak.gov.tr/math/vol39/iss3/2