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International Journal of Innovation and Scientific Research
ISSN: 2351-8014
 
 
Tuesday 14 August 2018

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Kählerian structure associated to de Sitter group


Volume 28, Issue 2, January 2017, Pages 152–155

 Kählerian structure associated to de Sitter group

Gregoire Lutanda Panga, Patricka Azere Phiri, and Philippe Muyumba Kabwita

Original language: English

Received 16 August 2016

Copyright © 2017 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract


In this paper, we consider the de Sitter algebra and we realize the Kählerian structure by using the fact that the dual of a Lie algebra of a Lie group has a natural Poisson structure and also the fact that a non-degenerate Killing form on a Lie algebra induces a metric on its dual.

Author Keywords: Lie algebra of Lie group, Kirillov form, Killing form, Poisson bracket, Riemann bracket, Hermitian metric, Kähler manifold.


How to Cite this Article


Gregoire Lutanda Panga, Patricka Azere Phiri, and Philippe Muyumba Kabwita, “Kählerian structure associated to de Sitter group,” International Journal of Innovation and Scientific Research, vol. 28, no. 2, pp. 152–155, January 2017.