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On The Geometry Of The Product Riemannian Manifold With The Poisson Structure

Year 2010, Volume: 3 Issue: 2, 1 - 14, 30.10.2010

Rafik Nasri Mustapha Djaa

Abstract

  

Keywords

Product Riemannian manifold Poisson structure Riemanniann curvature tensor Ricci tensor sectional curvature

References

  • [1] Boucetta, M., Poisson manifolds with compatible Pseudo-metric and pseudo-Riemannian Lie algebras, J. Differential Geometry and its Applications 20 (2004) 279-291.
  • [2] Boucetta, M., Compatibilit´e des structures Pseudo-Riemanniennes et des structures de Pois- son, C. R. Acad. Sci. Paris, t. 333, Srie I, p. 763-768.Paris, (2001).
  • [3] Fernandes, R.L., Connections in Poisson geometry 1: holonomy and invariants, J. Differential Geom. 54 (2000) 303-306.
  • [4] Gudmundsson, S., An introduction to Riemannian geometry, Lund University, 2000.
  • [5] Nasri, N. and Djaa, M., Sur la courbure des vari´et´es Riemannienne produits, Sciences Tech- nologie A- N◦ 24 , Dcembre. (2006), pp. 15-20.
  • [6] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York, 1983.
  • [7] Vaisman, I., Lectures on the Geometry of Poisson Manifolds, Progress In Mathematics, vol. 118, Birkh¨auser, Berlin, 1994.

Year 2010, Volume: 3 Issue: 2, 1 - 14, 30.10.2010

Rafik Nasri Mustapha Djaa

Abstract

References

  • [1] Boucetta, M., Poisson manifolds with compatible Pseudo-metric and pseudo-Riemannian Lie algebras, J. Differential Geometry and its Applications 20 (2004) 279-291.
  • [2] Boucetta, M., Compatibilit´e des structures Pseudo-Riemanniennes et des structures de Pois- son, C. R. Acad. Sci. Paris, t. 333, Srie I, p. 763-768.Paris, (2001).
  • [3] Fernandes, R.L., Connections in Poisson geometry 1: holonomy and invariants, J. Differential Geom. 54 (2000) 303-306.
  • [4] Gudmundsson, S., An introduction to Riemannian geometry, Lund University, 2000.
  • [5] Nasri, N. and Djaa, M., Sur la courbure des vari´et´es Riemannienne produits, Sciences Tech- nologie A- N◦ 24 , Dcembre. (2006), pp. 15-20.
  • [6] O’Neill, B., Semi Riemannian Geometry, Academic Press, New York, 1983.
  • [7] Vaisman, I., Lectures on the Geometry of Poisson Manifolds, Progress In Mathematics, vol. 118, Birkh¨auser, Berlin, 1994.
There are 7 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Rafik Nasri This is me

Mustapha Djaa This is me

Publication Date October 30, 2010
Published in Issue Year 2010 Volume: 3 Issue: 2

Cite

APA Nasri, R., & Djaa, M. (2010). On The Geometry Of The Product Riemannian Manifold With The Poisson Structure. International Electronic Journal of Geometry, 3(2), 1-14.
AMA Nasri R, Djaa M. On The Geometry Of The Product Riemannian Manifold With The Poisson Structure. Int. Electron. J. Geom. October 2010;3(2):1-14.
Chicago Nasri, Rafik, and Mustapha Djaa. “On The Geometry Of The Product Riemannian Manifold With The Poisson Structure”. International Electronic Journal of Geometry 3, no. 2 (October 2010): 1-14.
EndNote Nasri R, Djaa M (October 1, 2010) On The Geometry Of The Product Riemannian Manifold With The Poisson Structure. International Electronic Journal of Geometry 3 2 1–14.
IEEE R. Nasri and M. Djaa, “On The Geometry Of The Product Riemannian Manifold With The Poisson Structure”, Int. Electron. J. Geom., vol. 3, no. 2, pp. 1–14, 2010.
ISNAD Nasri, Rafik - Djaa, Mustapha. “On The Geometry Of The Product Riemannian Manifold With The Poisson Structure”. International Electronic Journal of Geometry 3/2 (October 2010), 1-14.
JAMA Nasri R, Djaa M. On The Geometry Of The Product Riemannian Manifold With The Poisson Structure. Int. Electron. J. Geom. 2010;3:1–14.
MLA Nasri, Rafik and Mustapha Djaa. “On The Geometry Of The Product Riemannian Manifold With The Poisson Structure”. International Electronic Journal of Geometry, vol. 3, no. 2, 2010, pp. 1-14.
Vancouver Nasri R, Djaa M. On The Geometry Of The Product Riemannian Manifold With The Poisson Structure. Int. Electron. J. Geom. 2010;3(2):1-14.