On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures

M. Hasan Shahid and A. Sharfuddin

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-10

Abstract:

The study of CR -submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR -submanifolds of a Kähler manifold. Also, it has been studied that generic submanifolds of Kähler manifolds [2] are generalisations of holomorphic submanifolds, totally real submanifolds and CR -submanifolds of Kähler manifolds. On the other hand, many examples C 2 of generic surfaces in which are not CR -submanifolds have been given by Chen [3] and this leads to the present paper where we obtain some necessary conditions for a generic submanifolds in a locally conformal Kähler manifold with four canonical strucrures, denoted by P , F , t and f , to have parallel P , F and t . We also prove that for a generic submanifold of a locally conformal Kähler manifold, F is parallel iff t is parallel.

Date: 1995
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/18/361574.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/18/361574.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:361574

DOI: 10.1155/S0161171295000421

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 ().