Journal of Lie Theory

no. 3
Reduction Theorems for Manifolds with Degenerate 2-Form
Luigia Di Terlizzi1; Jerzy J. Konderak
1Dip. di Matematica, Via Orabona 4, 70125 Bari, Italy
Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 563-581
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.
DOI: 10.5802/jolt.461
Classification: 53D20, 53C15, 53C25
Keywords: Degenerate symplectic form, momentum map, symplectic reduction, K,C,S-structures, generalized contact metric structure

Luigia Di Terlizzi  1 ; Jerzy J. Konderak 

1 Dip. di Matematica, Via Orabona 4, 70125 Bari, Italy 
Luigia Di Terlizzi; Jerzy J. Konderak. Reduction Theorems for Manifolds with Degenerate 2-Form. Journal of Lie Theory, Volume 17 (2007) no. 3, pp. 563-581. doi: 10.5802/jolt.461
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     author = {Luigia Di Terlizzi and Jerzy J. Konderak},
     title = {Reduction {Theorems} for {Manifolds} with {Degenerate} {2-Form}},
     journal = {Journal of Lie Theory},
     pages = {563--581},
     year = {2007},
     volume = {17},
     number = {3},
     doi = {10.5802/jolt.461},
     zbl = {1144.53042},
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