Study of a hyperbolic Kaehlerian manifold equipped with a quarter-symmetric metric connection

Braj Bhushan Chaturvedi, B. K. Gupta

DOI Number
-
First page
115
Last page
127

Abstract


This paper contains the study of a hyperbolic Kaehlerian manifold with differentaproaches. We consider a hyperbolic Kaehlerian manifold with a quartersymmertricmetric connection and obtained an expressions for holomorphic conharmoniccurvature tensor, conformal curvature tensor with respect to a quartersymmetricmetric connection . We have also studied holomorphic conharmonicrecurrent, conformal recurrent and weyl projective recurrent with respect to aquarter-symmetric metric connection.

Keywords


Hyperbolic Kaehlerian manifold, quarter- symmetric metric connection, conformal recurrent curvature, weyl projective recurrent curvature and holomorphic conharmonic recurrent curvature.

Full Text:

PDF

References


K. Yano and T. Imai, Quarter-symmetric connection and their curvature tensor,

Tensor, N.S.38(1982), 13-18.

Nevena Puˇsi´c, Publications de l, institut mathematique Nouvelle series, tome 73(87)

(2003), 73-80.

B. B. Chaturvedi and P. N. Pandey, Semi-symmetric non metric connection on a

K¨ahler manifold, Differential Geometriy-Dynamical System , 10(2008), 86-90

P. N. Pandey and B. B. Chaturvedi, Almost Hermitian manifold with semisymmetric

recurrent connection, J. Internat Acad Phy. Sci. 10(2006), 69-74.

P. N. Pandey and B. B. Chaturvedi,semi-symmetric metric connection on a K¨ahler

manifold, Bull. Alld. Math. Soc. 22(2007), 51-57.

K. Yano, on semi-symmetric metric connections, Rev. Roumanie Math. Pures

Appl.15(1970), 1579-1586.


Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)