Three-Dimensional Paracontact Walker Structures

G. Calvaruso

Bollettino dell'Unione Matematica Italiana (2012)

  • Volume: 5, Issue: 2, page 387-403
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Calvaruso, G.. "Three-Dimensional Paracontact Walker Structures." Bollettino dell'Unione Matematica Italiana 5.2 (2012): 387-403. <http://eudml.org/doc/290945>.

@article{Calvaruso2012,
abstract = {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.},
author = {Calvaruso, G.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {387-403},
publisher = {Unione Matematica Italiana},
title = {Three-Dimensional Paracontact Walker Structures},
url = {http://eudml.org/doc/290945},
volume = {5},
year = {2012},
}

TY - JOUR
AU - Calvaruso, G.
TI - Three-Dimensional Paracontact Walker Structures
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/6//
PB - Unione Matematica Italiana
VL - 5
IS - 2
SP - 387
EP - 403
AB - 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.
LA - eng
UR - http://eudml.org/doc/290945
ER -

References

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