Geodesic
Reduction Theorems for Manifolds with Degenerate 2-Form
Journal of Lie theory, Tome 17 (2007) no. 3, pp. 563-581
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We consider a manifold with a 2-form and an action of a Lie group on the manifold which preserves the form. We define a momentum map and study its properties in this context. In particular we obtain a reduction theorem. Then we apply our reduction theorem to a certain generalization of the contact metric manifolds.
Classification : 53D20, 53C15, 53C25
Mots-clés : Degenerate symplectic form, momentum map, symplectic reduction, K,C,S-structures, generalized contact metric structure 
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     title = {Reduction {Theorems} for {Manifolds} with {Degenerate} {2-Form}},
     journal = {Journal of Lie theory},
     pages = {563--581},
     year = {2007},
     volume = {17},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a6/}
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Reduction Theorems for Manifolds with Degenerate 2-Form. Journal of Lie theory, Tome 17 (2007) no. 3, pp. 563-581. http://geodesic.mathdoc.fr/item/JLT_2007_17_3_JLT_2007_17_3_a6/