Dergiler / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 4
Diagonal Lift in the Cotangent Bundle and its Applications
- Sayfa
- 491–502
- DOI
- —
Özet
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.
Abstract
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.