Three-Dimensional Paracontact Walker Structures
Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 387-403
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
We investigate paracontact metric three-manifolds equipped with an associated Walker metric. Some interesting paracontact metric properties are studied for the paracontact Walker structures introduced in [10], also clarifying their relationships with some curvature properties. Moreover, improving the result on [4] on locally symmetric Walker three-manifolds, we show that homogeneity conditions give some obstructions to the existence of compatible paracontact structures on a Walker three-manifold.
@article{BUMI_2012_9_5_2_a11,
author = {Calvaruso, G.},
title = {Three-Dimensional {Paracontact} {Walker} {Structures}},
journal = {Bollettino della Unione matematica italiana},
pages = {387--403},
publisher = {mathdoc},
volume = {Ser. 9, 5},
number = {2},
year = {2012},
zbl = {1264.53036},
mrnumber = {2977255},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_2_a11/}
}
Calvaruso, G. Three-Dimensional Paracontact Walker Structures. Bollettino della Unione matematica italiana, Série 9, Tome 5 (2012) no. 2, pp. 387-403. http://geodesic.mathdoc.fr/item/BUMI_2012_9_5_2_a11/