On a Semi-symmetric Non-metric Connection in an Indefinite Para Sasakian Manifold
-
2940
Downloads
-
4175
Views
Authors
S. K. Pandey
- Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India.
G. Pandey
- Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India.
K. Tiwari
- Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India.
R. N. Singh
- Department of Mathematical Sciences, A.P.S. University, Rewa(M.P.),486003, India.
Abstract
The object of the present paper is to study a semi-symmetric non-metric connection in an indefinite para Sasakian manifold. In this paper, we obtain the relation between the semi-symmetric non-metric connection and Levi-Civita connection in an indefinite para Sasakian manifold. Also, the Nijenhuis tensor, curvature tensor and projective curvature tensor of semi-symmetric non-metric connection in an indefinite para Sasakian manifold have been studied.
Share and Cite
ISRP Style
S. K. Pandey, G. Pandey, K. Tiwari, R. N. Singh, On a Semi-symmetric Non-metric Connection in an Indefinite Para Sasakian Manifold, Journal of Mathematics and Computer Science, 12 (2014), no. 2, 159-172
AMA Style
Pandey S. K., Pandey G., Tiwari K., Singh R. N., On a Semi-symmetric Non-metric Connection in an Indefinite Para Sasakian Manifold. J Math Comput SCI-JM. (2014); 12(2):159-172
Chicago/Turabian Style
Pandey, S. K., Pandey, G., Tiwari , K., Singh, R. N.. "On a Semi-symmetric Non-metric Connection in an Indefinite Para Sasakian Manifold." Journal of Mathematics and Computer Science, 12, no. 2 (2014): 159-172
Keywords
- Indefinite para Sasakian manifold
- semi-symmetric non-metric connection
- Nijenhuis tensor
- projective curvature tensor.
MSC
References
-
[1]
N. S. Agashe, M. R. Chafle, A semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math., 23(6) (1992), 399-409.
-
[2]
K. Amur, S. S. Pujar, On submanifolds of a Riemannian manifold admitting a semi-symmetric metric connection , Tensor (N.S.), 32 (1978), 35-38.
-
[3]
P. O. C. Adonie, On semi-symmetric non-metric connection on a Riemannian manifold, Ann. Fac. Sci. De Kinshasa, Zaire Sect. Math.-Phys., 2. , (1976)
-
[4]
E. Bartolotti, Sulla geometria dello variata a connection affine, Ann. di Math., 4(8) (1930), 53-101.
-
[5]
A. Bejancu, K. L. Duggal, Real hypersurfaces of indefinite Kahler manifolds, Int. J. Math. Math.Sci., 16(3) (1993), 545-556.
-
[6]
M. C. Chaki, B. Chaki, On pseudo symmetric manifolds admitting a type of semi-symmetric connection, Soochow J. Math., 13 (1987), 1-7.
-
[7]
M. C. Chaki, A. Konar, On a type of semi-symmetric connection on a Riemannian manifold, J. Pure Math., Calcutta University , (1981), 77-80.
-
[8]
U. C. De, On a type of semi-symmetric connection on a Riemannian manifold, Indian J. Pure Appl. Math., 21(4) (1990), 334-338.
-
[9]
U. C. De, B. K. De, Some properties of a semi-symmetric metric connection on a Riemannian manifold, Istanbul Univ. fen Fak. Math. Der., 54 (1995), 111-117.
-
[10]
U. C. De, G. C. Ghosh, On a type of semi-symmetric metric connection on a Riemannian manifold, Istanbul Univ. Fen Fak. Math. Der., 53 (1994), 29-35.
-
[11]
U. C. De, A. Sarkar, On 𝜀-Kenmotsu manifolds, Hadronic Journal, 32 (2009), 231-242.
-
[12]
K. L. Duggal, Space time manifolds and contact structures, International Journal of Mathematics and Mathematical Sciences, 13(3) (1990), 545-553.
-
[13]
A. Friedmann, J. A. Schouten, Über die geometric der halb-symmetrischen Übertragum, Math. Zeitschr, 21 (1924), 211-233
-
[14]
H. A. Hayden, Subspace of space with torsion, Proc. London Math. Soc., 34 (1932), 27-50.
-
[15]
T. Imai, Notes on semi-symmetric metric connections, Tensor (N.S.), 24 (1972), 293-296.
-
[16]
T. Imai, Notes on semi-symmetric metric connection II, Tensor (N.S.), 27 (1973), 56-58.
-
[17]
R. S. Mishra, S. N. Pandey, Semi-symmetric metric connection in an almost contact manifolds, Indian J. Pure Appl. Math., 9(6) (1978), 570-580.
-
[18]
M. Pravanovic, On pseudo metric semi-symmetric connections, Publ. De L. Institute Math., N.S., 18(32) (1975), 157-164.
-
[19]
I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.), 30(3) (1976), 219-224.
-
[20]
R. N. Singh, M. K. Pandey, On a type of semi-symmetric metric connection on a Riemannian manifold, Rev. Bull. Cal. Math. Soc., 16(2) (2008), 179-184.
-
[21]
X. Xufeng, C. Xiaoli, Two theorems on 𝜀-Sasakian manifolds, Int. J. Math. Math. Sci., 21(2) (1998), 249-254.
-
[22]
K. Yano, On semi-symmetric connection , Revue Roumanie de Mathematiques Pures et. Appliqués, 15 (1970), 1579-1581.
-
[23]
K. Yano, T. Imai, On semi-symmetric metric F-connection, Tensor (N.S.), 29 (1975), 134-138.
-
[24]
K. Yano, T. Imai, Quarter symmetric metric connections and their curvature tensors , Tensor. (N.S.), 38 (1982), 13-18.