Buradasınız

Some results on K-contact and Trans-Sasakian Manifolds

Journal Name:

Publication Year:

AMS Codes:

Abstract (2. Language): 
We obtain results on the vanishing of divergence of Pseudo projective curvature tensor e P with respect to semi-symmetric metric connection on k-contact and trans-Sasakian manifolds.
21-31

REFERENCES

References: 

[1] K.Amur and S.S.Pujar, On Submanifolds of a Riemannian manifold admitting a metric semisymmetric
connection, , Tensor, N.S., 32 (1978), 35-38.
[2] C.S.Bagewadi, On totally real submanifolds of a Kahlerian manifold admitting Semi symmetric
metric F-connection, Indian. J. Pure. Appl. Math,13(5);528-536, May 1982.
[3] C.S.Bagewadi and E.Girish Kumar, Note on Trans-Sasakian Manifolds, Tensor.N.S., 65
(2004), no.1, 80-88.
[4] C.S.Bagewadi and Venkatesha, Some curvature tensors on Trans sasakian manifolds , Turk.
J. Math, 31(2007), 111-121.
[5] C.S.Bagewadi, D.G.Prakasha and Venkatesha, Conservative Projective Curvature tensor on
Trans-Sasakian Manifold with respect to Semi-symmetric Metric Connection, Analele St. ale
Univ. Ovidius Constanta, Seria Matematica, Vol. 15(2), 2007, 518.
[6] C.S.Bagewadi, D.G.Prakasha and Venkatesha, Conservative conformal and quasi-conformal
Curvature tensor on k-contact manifold manifold with respect to Semi-symmetric Metric Connection,
To appear in Tamsui Oxford J. Math.Sci.,
[7] Bhagwat Prasad, On Pseudo-projective curvature tensor on a Riemanian manifold, Bull. Cal.
Math. Soc., 94(3) (2002), 163-166.
[8] D.E.Blair and J.A.Oubina, Conformal and related changes of metric on the product of two
almost contact metric manifolds, Publ. Mat. 34 (1990), no.1, 199-207.
REFERENCES 31
[9] D.E.Blair, Contact manifolds in Riemannian geometry, Lecture notes in Mathematics, 509,
Springer-Verlag, Berlin, 1976.
[10] U.C.De and Absos Ali Shaikh, K-contact and Sasakian manifolds with conservative quasiconformal
curvature tensor , Bull. Cal. Math. Soc., 89 (1997), 349-354
[11] A.Friedmann and J.A.Schouten, Uber die geometric der holbsymmetrischen Ubertragurgen,
Math. Zeitschr. 21 (1924), 211-233.
[12] N.B.Gatti and C.S.Bagewadi, On irrotational quasi-conformal curvature tensor, Tensor.N.S.,
64 (2003),no.3, 248-258.
[13] A.Gray and L.M.Harvella, The sixteen clases of almost Hermitian manifolds and their linear
invariants, Ann. Mat. Pura Appl., 123(1980),no.4, 35-58.
[14] H.A.Hayden, Subspaces of space with torsion, Proc. Lond. Math. Soc. 34(1932), 27-50.
[15] J.A.Oubina, New classes of almost contact metric structures, Publ.Math.Debrecen. 32(1985),
no.3-4,187-193.
[16] A.Sharafuddin and S.I.Hussain, Semi-symmetric metric connections in almost contact manifolds,
Tensor, N.S.,30 (1976), 133-139.
[17] Venkatesha and C.S.Bagewadi, On Pseudo Projective -Recurrent Kenmotsu Manifolds, Soochow
Journal of Mathematics, 32(2006), no.3, 433-439.
[18] K.Yano, On semi-symmetric metric connections, Revue Roumaine de Math. Pures et Appliques
15 (1970), 1579-1586.

Thank you for copying data from http://www.arastirmax.com