Rajendra Prasad, Abdul Haseeb

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In the present paper, we study certain curvature conditions on the conformal curvature tensor in K-contact manifolds with respect to the quarter-symmetric metric connection.


K-contact manifold, conformal curvature tensor, /eta-Einstein manifold, quarter-symmetric metric connection


K-contact manifold, conformal curvature tensor, \eta-Einstein manifold, quarter-symmetric metric connection

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A. Barman: Weakly symmetric and weakly Ricci-symmetric LP-Sasakian manifolds admitting a quarter-symmetric metric connection, Novi Sad J. Math. 45(2015), 143-153.

A. Friedmann and J. A. Schouten: Uber die Geometric der halbsymmetrischen Ubertragung, Math. Zeitschr. 21(1924), 211-223.

A. Haseeb: Some new results on para-Sasakian manifolds with a quarter-symmetric metric connection, Facta Universitatis (NI˘S), Ser. Math. Inform. 30 (5) (2015), 765-776.

A. Yildiz and E. Ata: On a type of K-conatct manifolds, Hacettepe J. Math. Stat. 41(4)(2012), 567-571.

C. ¨ Ozg¨ur: -conformally flat Lorentzian para-Sasakian manifolds, Radovi Matemati˘cki 12(2003), 99-106.

C. S. Bagewadi and G. Ingalahalli : A study on the -symmetric K-contact manifold admitting quarter-symmetric metric connection, Journal of Mathematical Physics, Analysis, Geometry 10(4) (2014), 399-411.

D. E. Blair: Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer, Berlin-New York, 1976.

H. Geiges: A brief history of contact geometry and topology, Expo. Math. 19(1) (2001), 25-53.

J. B. Jun and U. K. Kim: On 3-dimensional almost contact metric manifolds, Kyungpook Math. J. 34(1994), 293-301.

J. L. Cabrerizo, L. M. Fernandes, M. Fernandes and G. Zhen: The structure of a class of K-contact manifolds, Acta Math. Hungarica 82(4) (1999), 331-340.

K. Yano: On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl. 15(1970), 1579-1586.

M. Ahmad, J. B. Jun and A. Haseeb : Hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric metric connection, Bull. Korean Math. Soc. 46(3)(2009), 477-487.

N. Guha and U. C. De: On K-contact manifolds, Serdica 19(4) (1993), 267-272.

P. Majhi and U. C. De : Concircular curvature tensor on K-contact manifolds, Acta Math. Acad. Paeda. Nyiregyhaziensis 29(2013), 89-99.

R. Prasad and A. Haseeb: On a Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection, Novi Sad J. Math. 46(2) (2016), 103-116.

S. Golab: On semi-symmetric and quarter-symmetric linear connections, Tensor (N.S.) 29(1975), 293-301.

S. Sasaki: ”Lecture Notes on Almost Contact Manifolds, Part I”, Tohoku Univ., 1965.

S. Sular, C. Özgür and U. C. De: Quarter-symmetric metric connection in a Kenmotsu manifold, SUT J. Math., 44(2008), 297-306.

S. K. Hui: On -pseudo symmetric Kenmotsu manifolds with respect to quarter-symmetric metric connection, Applied Sci. 15 (2013), 71-84.

U. C. De and A. De: On some curvature properties of K-contact manifolds, Extracta Math. 27 (2012), 125-134.

U. C. De and J. Sengupta: Quarter-symmetric metric connection on a Sasakian manifold, Commun. Fac. Sci. Univ. Ank. Series 49 (2000), 7-13.

U. C. De and K. Mandal: On K-contact Einstein manifolds, Novi Sad J. Math. 46(1) (2016), 105-114.



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