A NOTE ON CONTACT MANIFOLDS AND APPLICATIONS

Authors

  • A. Sarkar Department of Mathematics, University of Burdwan, Burdwan 713104, West Bengal, India
  • S. K. Das Department of Mathematics, Berhampore Girl’s College, Murshidabad, West Bengal, India
  • L. Ershad Ali Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
  • K. M. Alam Computer Science and Engineering Discipline, Khulna University, Khulna9208, Bangladesh
  • M. A. Hakim Department of Mathematics, Comilla University, Comilla, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2010.10.1and2.0906-E

Keywords:

Contact manifold, Sasakian manifold, conharmonic curvature tensor

Abstract

The objective of this paper is to define contact manifold in a popular way and to show its applications to non-linear system and different branch of physics. A well known class of contact manifold viz., Sasakian manifold has been studied and its applications have also been considered. An illustrative example is also given.

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References

Blair, D. E. 1976. Contact manifolds in Riemannian geometry: Lecture Notes in Math., No. 509. Springer 4: 55–75

De, V. C. and Sarkar, A. 2008. On -recurrent quasi-Sasakian manifolds. Dem. Math., XLI: 677-683

Edelen, D. G. B. and Hua, W. J. 1992. Transformation Methods for Partial Differential Equations. World Scientific, Singapore, 161: 45-54

Friedrich, T. and Ivanov, S. 2002. Parallel Spinors and Connections with skew symmetric torsion in string Theory. Asian Journal of Mathematics 6: 303-336

Guojing, Z.and Jianguo, W. 1998. Invariant sub manifolds and models of non-linear autonomous system. Applied Mathematics and Mechanics 19: 687-693

Morimoto, T. 1997. Monge-Ampere Equations viewed from contact geometry. Branch Center Publications, 39: 105-121

Sasaki, S. 1960. On differentiable manifolds with certain structures which are closely related to almost contact structure, Tohoku Math. Journal 2: 459-476

Takahashi, T. 1977. Sasakian -symmetric spaces. Tohoku Math. Journal 29: 91-113

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Published

25-11-2010

How to Cite

[1]
A. . Sarkar, S. K. . Das, L. E. . Ali, K. M. . Alam, and M. A. . Hakim, “A NOTE ON CONTACT MANIFOLDS AND APPLICATIONS”, Khulna Univ. Stud., pp. 233–242, Nov. 2010.

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Section

Science and Engineering