On contact CR-submanifolds of sasakian manifolds

Koji Matsumoto

International Journal of Mathematics and Mathematical Sciences, 1983, vol. 6, 1-14

Abstract:

Recently, K.Yano and M.Kon [5] have introduced the notion of a contact C R -submanifold of a Sasakian manifold which is closely similar to the one of a C R -submanifold of a Kaehlerian manifold defined by A. Bejancu [1].

In this paper, we shall obtain some fundamental properties of contact C R -submanifolds of a Sasakian manifold. Next, we shall calculate the length of the second fundamental form of a contact C R -product of a Sasakian space form (THEOREM 7.4). At last, we shall prove that a totally umbilical contact C R -submanifold satisfying certain conditions is totally geodesic in the ambient manifold (THEOREM 8.1).

Date: 1983
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/6/304272.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/6/304272.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:304272

DOI: 10.1155/S0161171283000277

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().