ON SUBMANIFOLDS OF AN ALMOST PSEUDO CONTACT METRIC MANIFOLD
Year 2012,
Volume: 5 Issue: 2, 19 - 26, 30.10.2012
Mehmet Atçeken
Abstract
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)
References
- [1] Atçeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds, Hindawi Publishing Cor-
poration International Journal of Mathematics and Mathematical Sciences., (2012), Article
ID 304647, 11 pages doi:10.1155/2012/304647.
- [2] Karadag, H. B. and Atçeken, M., Invariant Submanifolds of Sasakian Manifolds, Balkan
Journal of Geometry and Its Applications., 12(2007), no.1, 68-75.
- [3] Debnath, P. and Konar, A., Almost Pseudo Contact Structure, Commun. Korean Math. Soc.,
26(2011), no.1, 125-133, DOI 10.4134/CKMS.2011.26.1.125.
Year 2012,
Volume: 5 Issue: 2, 19 - 26, 30.10.2012
Mehmet Atçeken
References
- [1] Atçeken, M., On Geometry of Submanifolds of (LCS)n-Manifolds, Hindawi Publishing Cor-
poration International Journal of Mathematics and Mathematical Sciences., (2012), Article
ID 304647, 11 pages doi:10.1155/2012/304647.
- [2] Karadag, H. B. and Atçeken, M., Invariant Submanifolds of Sasakian Manifolds, Balkan
Journal of Geometry and Its Applications., 12(2007), no.1, 68-75.
- [3] Debnath, P. and Konar, A., Almost Pseudo Contact Structure, Commun. Korean Math. Soc.,
26(2011), no.1, 125-133, DOI 10.4134/CKMS.2011.26.1.125.
There are 3 citations in total.