Normalisation formelle de structures de Poisson |
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| Institution: | 1. Department of Mathematics, Maharishi Markandeshwar Deemed to be University, Mullana, 133207, Ambala-Haryana, India;2. Department of Mathematics, Art and Science Faculty, Uludag University, 16059 Bursa, Turkey;3. Department of Mathematics, College of Science, Jazan University, Jazan, Saudi Arabia;1. Dipartamento di Matematica, Univ. Statale di Milano, Milan, Italy;2. Instituto de Matemática, Univ. Federal do Rio de Janeiro, Rio de Janeiro, Brazil;1. Dipartimento di Matematica dell''Università di Genova, via Dodecaneso, 16148 Genova, Italy;2. Dipartimento di Matematica dell''Università di Roma II - Tor Vergata, 00133 Roma, Italy |
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| Abstract: | For any Poisson structure vanishing at a point, we give a local formal normal form which arises from the Levi decomposition of the dual of its linear approximation. So, we generalize the result of Weinstein which says that singular Poisson structures with linear approximation having a semi-simple dual, are formally linearizable. |
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