On a Kaehler manifold equipped with lift of quarter symmetric non-metric connection
Abstract
This paper contains the study of Kaehler manifolds equipped with lift of
quarter-symmetric non-metric connection. In this paper, a condition on the
manifold for being a Kaehler manifold with respect to lift of quarter-symmetric
non-metric connection is obtained. Further, it has shown that the Nijenhuis
tensor with respect to lift of quarter-symmetric non-metric connection vanishes.
Also, a necessary and sucient condition for a contravariant almost analytic vector
field in a Kaehler manifold equipped with lift of quarter-symmetric non-metric
connection has been found.
Keywords
Full Text:
PDFReferences
B. B. Chaturvedi and P. Pandey, Study of a new type of metric connection in an almost Hermitian manifold, Facta Universitatis (NIS), 30(2) (2015), 217-224.
B. B. Chaturvedi and P. N. Pandey, A semi-symmetric non-metric connection on a Kahler manifold, Diff. Geom. Dyn. syst., 10 (2008), 86-90.
L. S. Das and M. N. I. Khan, Almost r-contact structures on the tangent bundle, Diff. Geom. Dyn. syst., 7 (2005), 34-41.
U. C. De and A. A. Shaikh, Complex Manifolds and Contact Manifolds, Narosha Publishing House, 2009.
S. Golab, On semi-symmetric and quarter-symmetric linear connections, Tensor, N. S., 29 (1975), 249-254.
M. N. I. Khan, Lift of hyper-surfaces with quarter-symmetric semi-metric connection to tangent bundles, Africa Math. 25 (2014), 475-482.
M. N. I. Khan, Lift of semi-symmetric non-metric connection on a Kaehler manifold, Africa Math. 26 (2015), 1-8.
M. Tekkoyun and S. Civelek, On lifts of structures on complex manifolds, Diff. Geom. Dyn. syst., 5 (2008), 373-382.
Refbacks
- There are currently no refbacks.
ISSN 0352-9665 (Print)