GENERALIZED CR-SUBMANIFOLDS OF A T-MANIFOLD

  • De, U.C. (Department of Mathematics, University Of Kalyani) ;
  • Matsuyama, Y. (Department of Mathematics, Faculty Of Science And Engineering, Chuo University) ;
  • Sengupta, Anup-Kumar (Department of Mathematics, Bidhannagar College)
  • Published : 2004.08.01

Abstract

The purpose of the present paper is to study the generalized CR-sub manifold of a T-manifold. After preliminaries we have studied the integrability of the distributions and obtained the conditions for integrability. Then geometry of leaves are being studied. Finally it is proved that every totally umbilical generalized CR-submanifold of a T-manifold is totally geodesic.