APPLICATION OF SYSTEMS OF COMPUTER MATHEMATICS TO THE DECISION QUESTIONS OF EXISTENCE SEMI-RIEMANNIAN K-KONTACT-SASAKI-EINSTEIN STRUCTURES ON LIE GROUPS
Abstract
With use of procedures of symbolic computations on Maple the Lie algebras of dimension 5 supposing left invariant semi-Riemannian K-contact-Sasaki-Einstein structures are found. On one of Lie algebras of dimension 5 as an example the family of Sasaki structures is found in the obvious form and geometrical properties of metrics of family are received.
References
1. Дьяконов, В. Maple 9 в математике, физике и образовании / В. Дьяконов. - M.: СОЛОН-Пресс, 2004. - 688 с.
2. Blair, D. E. Contact Manifolds in Riemannian Geometry / D. E. Blair // Lecture Notes in Mathematics. - Springer, Verlag, Berlin, Heidelberg, New York, 1976. - 145 p.
3. Davidov, J. Eta-Einstein condition on twistor spaces of odd-dimensional Riemannian manifolds / J. Davidov // Journal of Geometry 86, 2006. - P. 42 - 53.
4. Diatta, A. Left invariant contact structures on Lie groups / A. Diatta // [Электронный ресурс]. - Режим доступа: http://arxiv.org/abs/math/0403555v2, свободный.
5. Ovando, G. Four dimensional symplectic Lie algebras / G. Ovando // [Электронный ресурс]. -Режим доступа: http://arxiv.org/abs/math/0407501 v1, свободный.
6. Ghanam, R. Variationality of Four-Dimensional Lie Group Connection / R. Ghanam, G. Thompson, E. Miller // J. of the Lie Theory. -2004. - Vol. 14. - P. 395 - 425.
Review
For citations:
Slavolubova Ya.V. APPLICATION OF SYSTEMS OF COMPUTER MATHEMATICS TO THE DECISION QUESTIONS OF EXISTENCE SEMI-RIEMANNIAN K-KONTACT-SASAKI-EINSTEIN STRUCTURES ON LIE GROUPS. The Bulletin of Kemerovo State University. 2011;(3-1):151-154. (In Russ.)
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