Contact Self-Dual Geometry of Quasi-Sasakian 5-Manifolds
Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 643-658
Voir la notice de l'article provenant de la source Math-Net.Ru
We construct a self-dual geometry of quasi-Sasakian 5-manifolds. Namely, we intrinsically define the notion of contact conformally semiflat (i.e., contact self-dual or contact anti-self-dual) almost contact metric manifolds and also obtain a number of results concerning contact conformally semiflat quasi-Sasakian 5-manifolds. The most important results concerning Sasakian and cosymplectic manifolds reveal interesting relationships between the characteristics of these manifolds such as contact self-duality and constancy of the $\Phi$-holomorphic sectional curvature, contact anti-self-duality and Ricci flatness, etc.
Keywords:
almost contact manifold, conformally semiflat manifold, quasi-Sasakian manifold, contact self-duality, Ricci flatness.
@article{MZM_2011_90_5_a0,
author = {A. V. Aristarkhova and V. F. Kirichenko},
title = {Contact {Self-Dual} {Geometry} of {Quasi-Sasakian} {5-Manifolds}},
journal = {Matemati\v{c}eskie zametki},
pages = {643--658},
publisher = {mathdoc},
volume = {90},
number = {5},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a0/}
}
A. V. Aristarkhova; V. F. Kirichenko. Contact Self-Dual Geometry of Quasi-Sasakian 5-Manifolds. Matematičeskie zametki, Tome 90 (2011) no. 5, pp. 643-658. http://geodesic.mathdoc.fr/item/MZM_2011_90_5_a0/