ALMOST CONTACT B-METRIC STRUCTURES AND THE BIANCHI CLASSIFICATION OF THE THREE-DIMENSIONAL LIE ALGEBRAS

ЗаглавиеALMOST CONTACT B-METRIC STRUCTURES AND THE BIANCHI CLASSIFICATION OF THE THREE-DIMENSIONAL LIE ALGEBRAS
Вид публикацияJournal Article
Година на публикуване2015
АвториManev H
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том102
Pagination133-144
ISSN0205-0808
ключови думиAlmost contact structure, B-metric, indefinite metric, Lie algebra, Lie group
Резюме
The object of investigation are the almost contact manifolds with B-metric in the lowest dimension three, constructed on Lie algebras. It is considered a relation between the classes in the Bianchi classification of three-dimensional real Lie algebras and the classes of a classification of the considered manifolds. There are studied some geometrical characteristics in some special classes.
2010 MSC

53C15, 53C50, 53D15

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