Open AccessTOTALLY UMBILICAL SEMI-INVARIANT SUBMANIFOLDS AND CR-SUBMANIFOLDS OF A SASAKIAN MANIFOLD
Author(s) -
S. M. Khurseed Haider,
Vakeel A. Khan,
Shamshad Husain
Publication year - 1993
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.24.1993.4486
Subject(s) - submanifold , mathematics , pure mathematics , invariant (physics) , space form , manifold (fluid mechanics) , mathematical analysis , mathematical physics , engineering , mechanical engineering
In the present paper, a classification theorem for totally um- bilical semi-invariant submanifold is established. CR-submanifolds of a Sasakian space form are studied in detail, and finally a theorem for a CR- submanifold of a Sasakian manifold to be a proper contact CR-product is proved.