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.
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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, Tome 17 (2007) no. 3, pp. 563-581. http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a6/
@article{JOLT_2007_17_3_a6,
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},
url = {http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a6/}
}
TY - JOUR
AU - Luigia Di Terlizzi
AU - Jerzy J. Konderak
TI - Reduction Theorems for Manifolds with Degenerate 2-Form
JO - Journal of Lie Theory
PY - 2007
SP - 563
EP - 581
VL - 17
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a6/
ID - JOLT_2007_17_3_a6
ER -
%0 Journal Article
%A Luigia Di Terlizzi
%A Jerzy J. Konderak
%T Reduction Theorems for Manifolds with Degenerate 2-Form
%J Journal of Lie Theory
%D 2007
%P 563-581
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2007_17_3_a6/
%F JOLT_2007_17_3_a6
