CONHARMONIC CURVATURE TENSOR OF A QUARTER-SYMMETRIC METRIC CONNECTION IN A KENMOTSU MANIFOLD
Abstract
manifold admitting a quarter-symmetric metric connection whose conharmonic curvature tensor satisfies certain curvature conditions.
Keywords
Keywords
Full Text:
PDFReferences
Arslan, K., Murathan, C. and
¨
Ozg ¨ ur, C., On φ-conformally flat contact metric
manifolds, Balkan J. Geom. Appl. (BJGA), 5(2)(2000), 1-7.
Barman A., Concircular curvature tensor of a semi-symmetric metric connection in
a Kenmotsu manifold, Thai J. of Math., 13(2015), 245-257.
Barman A., Weakly symmetric and weakly-Ricci symmetric LP-Sasakian manifolds
admitting a quarter-symmetric metric connection, Novi Sad J. Math., 45(2015),143-153.
Barman A. and De U. C., Pro jective curvature tensor of a semi-symmetric metric
connection in a Kenmotsu manifold, IEJG, 6(2013), 159-169.
Barman A. and De U. C., Semi-symmetric non-metric connections on Kenmotsu
manifolds, Romanian J. Math. and Comp. Sci., 5(2014), 13-24.
Blair, D. E., Contact manifolds in Riemannian geometry, Lecture Note in Mathematics, 509, Springer-Verlag Berlin, 1976.
D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Birkh¨auser,
Boston, 2002.
Cabrerizo, J. L., Fernandez, L. M. and Fernandez, M., The structure of a class of
K-contact manifolds, Acta Math. Hungar, 82(4)(1999), 331-340.
Cabrerizo, J. L., Fernandez, M., Fernandez, L. M. and Zhen, G., On ξ-conformally
flat K-contact manifolds, Indian J. Pure and Applied Math., 28(1997), 725-734.
De, U. C. and Biswas, S. C., Quarter-symmetric metric connection in an SPSasakian manifold, Commun. Fac. Sci. Univ. Ank. Series Al. V. 46(1997), 49-56.
Sular, S.,
¨
Ozg ¨ ur, C. and De, U. C., Quarter-symmetric metric connection in a
Kenmotsu manifold, SUT Journal of Mathematics 44, 2 (2008), 297-306.
G. Dileo and A. M. Pastore, Almost Kenmotsu manifolds and local symmetry, Bull.
Belg. Math. Soc. Simon Stevin, 14(2007), 343-354.
Friedmann, A. and Schouten, J. A.,
¨
U ber die Geometric der halbsymmetrischen
¨
U bertragung, Math., Zeitschr., 21(1924) , 211-223.
H. A. Hayden, Subspaces of space with torsion, Proc. London Math. Soc., 34(1932),
-50.
Golab, S., On semi-symmetric and quarter-symmetric liner connections, Tensor N.
S., 29(1975), 249-254.
Ishii, Y., Conharmonic transformations, Tensor (N. S.), 7(1957), 73-80.
AJIT BARMAN
Kenmotsu, K., A class of almost contact Riemannian manifolds , Tohoku Math. J.,
(1972), 93-103.
T. W. Kim and H. K. Pak, Canonical foliations of certain classes of almost contact
metric structures, Acta Math. Sin. (Engl. Ser.), 21(2005), 841-846.
Mishra, R. S. and Pandey, S. N., On quarter-symmetric metric F -connections,
Tensor, N.S.,34(1980), 1-7.
Mukhopadhyay, S., Roy, A. K. and Barua, B., Some properties of a quartersymmetric metric connection on a Riemannian manifold, Soochow J. of Math.,
(2), 1991, 205-211.
Z. Olszak, Locally conformal almost cosymplectic manifolds, Colloq. Math.,
(1989), 73-87.
Rastogi, S. C., On quarter-symmetric metric connection, C.R.Acad Sci., Bulgar,
(1978), 811-814.
Rastogi, S. C., On quarter-symmetric metric connection, Tensor, 44, 2, Aug. 1987,
-141.
Taleshian, A. and Parakasha, D. G., The structure of some classes of Sasakian
manifolds with respect to the quarter-symmetric metric connection, Int. J. Open
Problems Compt. Math., 3(5), (2010), 1-16.
Tanno, S., The automorphism groups of almost contact Riemannian manifolds,
Tohoku Math. j., 21(1969), 21-38.
K. Yano, On semi-symmetric connection, Revue Roumaine de Math. Pures et
Appliques, 15(1970), 1570-1586.
Yano, K. and Imai, T., Quarter-symmetric metric connections and their curvature
tensors, N. S., 38(1982), 13-18.
Zhen, G., On conformal symmetric K-contact manifolds, Chinese Quart. J. Math.,
(1992), 5-10.
Refbacks
- There are currently no refbacks.
ISSN 0352-9665 (Print)