Three-Dimensional Paracontact Walker Structures

Calvaruso, G.

Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 387-403 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

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.

Détail

Publié le : 2012-06-01

MR 2977255 | Zbl 1264.53036

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