Year 2016,
Volume: 29 Issue: 3, 695 - 701, 30.09.2016
Abstract
In this paper, we study smallest dimensional submanifold of para Kenmotsu manifold. Necessary and sufficient conditions are given on a 3-dimensional submanifolds of 5-dimensional para Kenmotsu manifold to be slant submanifold. After, we study 3-dimensional minimal slant submanifolds of para Kenmotsu manifold.
References
- D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in MathematicsVol. 203, Birkhauser, Boston, 2002.
- J. L.Cabrerizo, A. Carriazo and L.M. Fernandez, Slant submanifolds in Sasakian manifolds. Glasgow Math. J. 42 (2000), 125-138.
- A. Carriazo, New developments in slant submanifolds theory. In Applicable Mathematics in the Golden Age (2002), 339–356.
- A. Carriazo, L.M. Fernandez and M.B. Hans-Uber, Minimal slant submanifolds of the smallest dimension in S-manifold, Rev.Mat. Iberoamericana 21 (2005), 47-66.
- B.Y. Chen, Geometry of Slant Submanifolds, Katholieke Universiteit Leuven, 1990.
- B.Y. Chen, Slant Immersions, Bull, Australian Math. Soc. 41 (1990), 135-147.
- R.S. Gupta, and P.K. Pandey, Structure on a slant submanifold of a Kenmotsu manifold. Differential Geometry-Dynamical Systems 10 (2008), 139-147.
- R.S. Gupta,S.M.K. Haider and M.H. Shaid, Slant submanifolds of Kenmotsu manifolds,Radovi Math., 12 (2004), 205-214.
- A. Lotta, Slant submanifolds in contact geometry. Bull. Math. Soc. Roumanie. 39 (1996), 183-198.
- A.Lotta, Three dimensional slant submanifolds of K-contact manifolds, Balkan J. Geom. Appl., 3 (1) (1998), 37-51.
- I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.), 30 (1976), 219-224.
- Z. Olszak, The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94(108), (2013), 31-42.
Year 2016,
Volume: 29 Issue: 3, 695 - 701, 30.09.2016
Abstract
References
- D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Progress in MathematicsVol. 203, Birkhauser, Boston, 2002.
- J. L.Cabrerizo, A. Carriazo and L.M. Fernandez, Slant submanifolds in Sasakian manifolds. Glasgow Math. J. 42 (2000), 125-138.
- A. Carriazo, New developments in slant submanifolds theory. In Applicable Mathematics in the Golden Age (2002), 339–356.
- A. Carriazo, L.M. Fernandez and M.B. Hans-Uber, Minimal slant submanifolds of the smallest dimension in S-manifold, Rev.Mat. Iberoamericana 21 (2005), 47-66.
- B.Y. Chen, Geometry of Slant Submanifolds, Katholieke Universiteit Leuven, 1990.
- B.Y. Chen, Slant Immersions, Bull, Australian Math. Soc. 41 (1990), 135-147.
- R.S. Gupta, and P.K. Pandey, Structure on a slant submanifold of a Kenmotsu manifold. Differential Geometry-Dynamical Systems 10 (2008), 139-147.
- R.S. Gupta,S.M.K. Haider and M.H. Shaid, Slant submanifolds of Kenmotsu manifolds,Radovi Math., 12 (2004), 205-214.
- A. Lotta, Slant submanifolds in contact geometry. Bull. Math. Soc. Roumanie. 39 (1996), 183-198.
- A.Lotta, Three dimensional slant submanifolds of K-contact manifolds, Balkan J. Geom. Appl., 3 (1) (1998), 37-51.
- I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.), 30 (1976), 219-224.
- Z. Olszak, The Schouten-Van Kampen Affine Connection Adapted to an Almost Para Contact Metric Structure, Pub. de Linst. Math., 94(108), (2013), 31-42.
There are 12 citations in total.
Details
| Journal Section | Mathematics |
|---|---|
| Authors | |
| Publication Date | September 30, 2016 |
| Published in Issue | Year 2016 Volume: 29 Issue: 3 |