Title of article :
Real hypersurfaces in complex two-plane Grassmannians whose shape operator is recurrent for the generalized Tanaka-Webster connection
Author/Authors :
DE DIOS PEREZ, JUAN University of Granada - Department of Geometry and Topology, Spain , SUH, YOUNG JIN Kyungpook National University - Department of Mathematics, Korea , WOO, CHANGHWA Kyungpook National University - Department of Mathematics, Korea
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
