|
Eurasian Mathematical Journal, 2017, том 8, номер 4, страницы 18–34
(Mi emj274)
|
|
|
|
Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Some results on Riemannian $g$-natural metrics generated by classical lifts on the tangent bundle
L. Bilena, A. Gezerb a Department of Mathematics and Computer Science, Igdir University, 76000 Igdir, Turkey
b Department of Mathematics, Ataturk University, 25240 Erzurum, Turkey
Аннотация:
Let $(M, g)$ be an $n$-dimensional Riemannian manifold and $TM$ its tangent bundle equipped with Riemannian $g$-natural metrics which are linear combinations of the three classical lifts of the base metric with constant coefficients. The purpose of the present paper is three-fold. Firstly, to study conditions for the tangent bundle $TM$ to be locally conformally flat. Secondly, to define a metric connection on the tangent bundle $TM$ with respect to the Riemannian $g$-natural metric and study some its properties. Finally, to classify affine Killing and Killing vector fields. on the tangent bundle $TM$.
Ключевые слова и фразы:
affine Killing and Killing vector fields, conformal curvature tensor, Riemannian $g$-natural metric, metric connection, tangent bundle.
Поступила в редакцию: 27.07.2016 Исправленный вариант: 07.09.2016
Образец цитирования:
L. Bilen, A. Gezer, “Some results on Riemannian $g$-natural metrics generated by classical lifts on the tangent bundle”, Eurasian Math. J., 8:4 (2017), 18–34
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj274 https://www.mathnet.ru/rus/emj/v8/i4/p18
|
Статистика просмотров: |
Страница аннотации: | 213 | PDF полного текста: | 161 | Список литературы: | 37 |
|