We consider a Riemannian manifold with a compatible f-structure which admits a parallelizable kernel. With some additional integrability conditions it is called an (almost) S-manifold, which is a natural generalization of a contact metric and a Sasakian manifold. Then we consider an action of a Lie group preserving the given structures. In such a context we define a momentum map and prove some reduction theorems.
1
Dip. di Matematica, Università di Bari, Via Orabona 4, 70125 Bari, Italy
Luigia Di Terlizzi; Jerzy J. Konderak. Reduction Theorems for a Certain Generalization of Contact Metric Manifolds. Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 471-482. http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a3/
@article{JOLT_2006_16_3_a3,
author = {Luigia Di Terlizzi and Jerzy J. Konderak},
title = {Reduction {Theorems} for a {Certain} {Generalization} of {Contact} {Metric} {Manifolds}},
journal = {Journal of Lie Theory},
pages = {471--482},
year = {2006},
volume = {16},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a3/}
}
TY - JOUR
AU - Luigia Di Terlizzi
AU - Jerzy J. Konderak
TI - Reduction Theorems for a Certain Generalization of Contact Metric Manifolds
JO - Journal of Lie Theory
PY - 2006
SP - 471
EP - 482
VL - 16
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a3/
ID - JOLT_2006_16_3_a3
ER -
%0 Journal Article
%A Luigia Di Terlizzi
%A Jerzy J. Konderak
%T Reduction Theorems for a Certain Generalization of Contact Metric Manifolds
%J Journal of Lie Theory
%D 2006
%P 471-482
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a3/
%F JOLT_2006_16_3_a3
