Research Article
Year 2019,
Volume: 68 Issue: 1, 852 - 861, 01.02.2019
Abstract
References
- Akyol, M. A., Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics, 46, (2017), 177-192.
- Beniamino, C.M., Antonio, D.N., Ivan, Y., A survey on cosymplectic geometry,arXiv: 1305.3704 v3.
- Blair, D.E., Riemannian geometry of contact and symplectic manifolds,Progress in Mathematics 203, Birkhauser, 2002.
- Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, 1976.
- De, U.C., Sarkar,A., On a type of P- Sasakian manifolds, Math. Reports, 11 (61), (2009), 139-144.
- Deszcz, R., Verstraelen, L., and Yaprak, S., Warped products realizing a certain condition of pseudosymmetry type imposed on the Weyl curvature tensor, Chin. J. Math. 22, 2, (1994), 139-157.
- Eisenhart, L.P., Riemannian Geometry, Princeton University Press, 1949.
- Kim, T.W., Pak, H.K., Canonical foliations of certain classes of almost contact metric structures, Acta Math, Sinica, Eng. Ser. Aug., 21, 4, (2005) 841-846.
- Matsumoto, K., Ianus, S., Mihai, I., On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen 33, (1986), 61-65.
- Öztürk H., Murathan C., Aktan N., Vanli A.T., Almost α-cosymplectic f-manifolds, Analele stııntıfıce ale unıversıtatıı 'AI.I Cuza' Dı ıaşı (S.N.) Matematica, Tomul LX, f.1. (2014).
- Olszak, Z., On almost cosymplectic manifolds,Kodai Math, 4, 2, (1981), 239- 250.
- Pokhariyal, G.P., Mishra, R.S., The curvature tensor and their relativistic significance, Yokohoma Math. J. 18, (1970), 105-108.
- Pokhariyal, G.P., Study of a new curvature tensor in a Sasakian manifold, Tensor N.S. 36, (1982) 222-225.
- Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific, 1984.
- Yano, K., Sawaki, S., Riemannian manifolds admitting a conformal transfor- mation group, J. Diferential Geometry 2, (1968), 161-184.
- Yildiz A., De, U.C., On a type of Kenmotsu manifolds, Differential Geometry- Dynamical Systems,Vol. 12, (2010) 289-298.
Year 2019,
Volume: 68 Issue: 1, 852 - 861, 01.02.2019
Abstract
The object of this paper is to study α-cosymplectic manifolds admitting a W₂-curvature tensor.
References
- Akyol, M. A., Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics, 46, (2017), 177-192.
- Beniamino, C.M., Antonio, D.N., Ivan, Y., A survey on cosymplectic geometry,arXiv: 1305.3704 v3.
- Blair, D.E., Riemannian geometry of contact and symplectic manifolds,Progress in Mathematics 203, Birkhauser, 2002.
- Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, 1976.
- De, U.C., Sarkar,A., On a type of P- Sasakian manifolds, Math. Reports, 11 (61), (2009), 139-144.
- Deszcz, R., Verstraelen, L., and Yaprak, S., Warped products realizing a certain condition of pseudosymmetry type imposed on the Weyl curvature tensor, Chin. J. Math. 22, 2, (1994), 139-157.
- Eisenhart, L.P., Riemannian Geometry, Princeton University Press, 1949.
- Kim, T.W., Pak, H.K., Canonical foliations of certain classes of almost contact metric structures, Acta Math, Sinica, Eng. Ser. Aug., 21, 4, (2005) 841-846.
- Matsumoto, K., Ianus, S., Mihai, I., On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen 33, (1986), 61-65.
- Öztürk H., Murathan C., Aktan N., Vanli A.T., Almost α-cosymplectic f-manifolds, Analele stııntıfıce ale unıversıtatıı 'AI.I Cuza' Dı ıaşı (S.N.) Matematica, Tomul LX, f.1. (2014).
- Olszak, Z., On almost cosymplectic manifolds,Kodai Math, 4, 2, (1981), 239- 250.
- Pokhariyal, G.P., Mishra, R.S., The curvature tensor and their relativistic significance, Yokohoma Math. J. 18, (1970), 105-108.
- Pokhariyal, G.P., Study of a new curvature tensor in a Sasakian manifold, Tensor N.S. 36, (1982) 222-225.
- Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific, 1984.
- Yano, K., Sawaki, S., Riemannian manifolds admitting a conformal transfor- mation group, J. Diferential Geometry 2, (1968), 161-184.
- Yildiz A., De, U.C., On a type of Kenmotsu manifolds, Differential Geometry- Dynamical Systems,Vol. 12, (2010) 289-298.
There are 16 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | August 25, 2017 |
| Acceptance Date | May 9, 2018 |
| Publication Date | February 1, 2019 |
| Published in Issue | Year 2019 Volume: 68 Issue: 1 |
Cite
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