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

Pages : 313-321

Doi:10.3906/mat-1403-74

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Publication Date : 0000-00-00

Article Type : Research Paper

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 traceinsert ignore into journalissuearticles values(A);.
Keywords : Real hypersurfaces, complex two plane Grassmannians, Hopf hypersurface, generalized Tanaka Webster connection, recurrent shape operator