TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A NEARLY KAEHLER MANIFOLD

Autor:	Sin-Leng Tan, S. H. Kon
Rok vydání:	1996
Předmět:	Pure mathematics Mathematics::Complex Variables Applied Mathematics General Mathematics Mathematics::Differential Geometry Kähler manifold Mathematics::Symplectic Geometry Mathematics
Zdroj:	Tamkang Journal of Mathematics. 27:145-149
ISSN:	2073-9826 0049-2930
DOI:	10.5556/j.tkjm.27.1996.4352
Popis:	The geometry of a CR-submanifold in a Kaehler manifold has been extensively studied. B.Y . Chen has classified the totally umbilical CR-submanifolds of a Kaehler manifold and showed that they are either totally geodesic, or totally real or dim$(D^{\perp}) =1$. In this paper we show that such a result is also true in a nearly Kaehler manifold.
Databáze:	OpenAIRE
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