Properties of Modified Riemannian Extensions

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Authors: Gezer, A., Bilen, L., Cakmak, A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/118024
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Properties of Modified Riemannian Extensions / A. Gezer, L. Bilen, A. Cakmak // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 2. — С. 159-173. — Бібліогр.: 24 назв. — англ.

Let M be an n-dimensional differentiable manifold with a symmetric connection ∇ and T*M be its cotangent bundle. In this paper, we study some properties of the modified Riemannian extension ğ∇, c on T*M defined by means of a symmetric (0, 2)-tensor field c on M. We get the conditions under which T*M...