SOME RESULTS OF A QUARTER SYMMETRIC METRIC CONNECTION ON A P-SASAKIAN MANIFOLD
DOI:
https://doi.org/10.24297/jam.v9i7.2297Keywords:
Almost contact metric manifold, Semi symmetric metric connection, Curvature tensor, P-sasakian manifold, W2 -curvature tensor, Pseudo projective curvature tensor and sasakian manifoldAbstract
In the present paper we have a study on some properties of quarter symmetric metric connection in P-sasakian manifold and some results on quarter symmetric metric connection, m-projective curvature tensor, con-harmonic curvature tensor and pseudo projective curvature tensor.
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References
[1] Mondal A.K. De U.C., Quarter symmetric non metric connection on P-sasakian manifold, Int., scholarly Res.
Network, IRSN Geom., Vol.I (2012), Article I.D 659430, 14 pages.
[2] Mondal A.K. and De U.C., Some properties of a quarter symmetric connection on sasakian manifold, Bull. Math.
Anal. Appl. issue 3(2009), 99–108.
[3] Barman Ajit, Semi symmetric non matric connection in a P-sasakian manifold, Novi Sad J. Math, Vol. 43, No. 2,
2013, 117-124.
[4] Kamilya D. and De U.C., Some properties of a Ricci quarter symmetric metric connction in a Riemanmian manifold,
Ind. Jour. Pure and Appl. Math. 26, 1, (1995), pp 29-34.
[5] Sato I., On a structure similar to the almost contact structure, Tensor N.S., 30(1976), 219.
[6] Sengupta J. and Biswas B.,Quarter symmetric non metric connection on a Sasakian manifold, Bull. Calc. Math
Soc. 95 2(2003), 169–176.
[7] Yano K. and Imai T., Quarter symmetric metric connections and their curvature tensors, Tensor N.S, 38(1982), 13-
18.
[8] Shukla N.V.C. and Saha R.J., On a semi symmetric non metric connection in P-sasakian manifolds,Bull. Cal. Math
.Soc.,106(1), 73–82(2014).
[9] Shukla N.V.C. and Pandey A.C. , Some properties on semi symmetric metric T- connection on sasakian manifold,
ISSN 2347-1921
2800 | P a g e D e c e m b e r 1 3 , 2 0 1 4
Jour. of Adva. in Math, ISSN 2347–1921, (2014), pp 1946–1954.
[10] Mishra R.S. and Pandey S.N., On quarter symmetric F-connection, Tensor N.S. 34(1980), 1–7.
[11] Mishra R.S., Structures on a differentiable manifold and their applications, Chandrama Prakshan, Allahabad,
India, 1984.
[12] Rastogi S.C., On quarter symmetric metric connections, Tensor N.S. 14 (1987), 133–141.
[13] Rastogi S.C., A note on quarter symmetric metric connections, Indian J .pure Appl. Math 18 12(1987), 1107–
1112.
[14] Golabh S., On semi symmetric and quarter symmetric metric connection on a sasakian manifold, Tensor N.S.
29(1975), 249–254.
[15] Chaubey S.K. and Pandey A.C., Some properties of a semi symmetric non metric connection on a Sasakian
manifold Int. Jour. of Contemp. Math. Science, Vol. 8,(2013) No. 16, 789–799.
[16] Sular S., Ozgur C. and De U.C., Quarter symmetric connection in a Kenmotsu Manifold, Sut. J. Math.,44 2(2008),
297-306.
[17] Chaube S.K. and Ojha R.H., On quarter symmetric non metric connection on an almost Hermitian manifold, Bull.
of Math Anal. and application. Vol.2, Issue 2(2010), pp 77–83.
[18] Adati T. and Matsumoto K., On conformally recurrent and conformally symmetric P-sasakian manifold, TRUE
Math.,13(1977), 25.
[19] Adati T. and Miyazawa T., Some properties of P-sasakian manifold, TRU Math., 13(1977), 33.
[20] De U.C. and Sengupta J., Quarter symmetric metric connection on sasakin manifold, Common Fac. Sci. Univ.
Ank. Series Al Vol. 49, 7-13 (2000).
Network, IRSN Geom., Vol.I (2012), Article I.D 659430, 14 pages.
[2] Mondal A.K. and De U.C., Some properties of a quarter symmetric connection on sasakian manifold, Bull. Math.
Anal. Appl. issue 3(2009), 99–108.
[3] Barman Ajit, Semi symmetric non matric connection in a P-sasakian manifold, Novi Sad J. Math, Vol. 43, No. 2,
2013, 117-124.
[4] Kamilya D. and De U.C., Some properties of a Ricci quarter symmetric metric connction in a Riemanmian manifold,
Ind. Jour. Pure and Appl. Math. 26, 1, (1995), pp 29-34.
[5] Sato I., On a structure similar to the almost contact structure, Tensor N.S., 30(1976), 219.
[6] Sengupta J. and Biswas B.,Quarter symmetric non metric connection on a Sasakian manifold, Bull. Calc. Math
Soc. 95 2(2003), 169–176.
[7] Yano K. and Imai T., Quarter symmetric metric connections and their curvature tensors, Tensor N.S, 38(1982), 13-
18.
[8] Shukla N.V.C. and Saha R.J., On a semi symmetric non metric connection in P-sasakian manifolds,Bull. Cal. Math
.Soc.,106(1), 73–82(2014).
[9] Shukla N.V.C. and Pandey A.C. , Some properties on semi symmetric metric T- connection on sasakian manifold,
ISSN 2347-1921
2800 | P a g e D e c e m b e r 1 3 , 2 0 1 4
Jour. of Adva. in Math, ISSN 2347–1921, (2014), pp 1946–1954.
[10] Mishra R.S. and Pandey S.N., On quarter symmetric F-connection, Tensor N.S. 34(1980), 1–7.
[11] Mishra R.S., Structures on a differentiable manifold and their applications, Chandrama Prakshan, Allahabad,
India, 1984.
[12] Rastogi S.C., On quarter symmetric metric connections, Tensor N.S. 14 (1987), 133–141.
[13] Rastogi S.C., A note on quarter symmetric metric connections, Indian J .pure Appl. Math 18 12(1987), 1107–
1112.
[14] Golabh S., On semi symmetric and quarter symmetric metric connection on a sasakian manifold, Tensor N.S.
29(1975), 249–254.
[15] Chaubey S.K. and Pandey A.C., Some properties of a semi symmetric non metric connection on a Sasakian
manifold Int. Jour. of Contemp. Math. Science, Vol. 8,(2013) No. 16, 789–799.
[16] Sular S., Ozgur C. and De U.C., Quarter symmetric connection in a Kenmotsu Manifold, Sut. J. Math.,44 2(2008),
297-306.
[17] Chaube S.K. and Ojha R.H., On quarter symmetric non metric connection on an almost Hermitian manifold, Bull.
of Math Anal. and application. Vol.2, Issue 2(2010), pp 77–83.
[18] Adati T. and Matsumoto K., On conformally recurrent and conformally symmetric P-sasakian manifold, TRUE
Math.,13(1977), 25.
[19] Adati T. and Miyazawa T., Some properties of P-sasakian manifold, TRU Math., 13(1977), 33.
[20] De U.C. and Sengupta J., Quarter symmetric metric connection on sasakin manifold, Common Fac. Sci. Univ.
Ank. Series Al Vol. 49, 7-13 (2000).
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Published
2014-12-13
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SOME RESULTS OF A QUARTER SYMMETRIC METRIC CONNECTION ON A P-SASAKIAN MANIFOLD. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 9(7), 2791–2801. https://doi.org/10.24297/jam.v9i7.2297
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