Notes About a New Metric on the Cotangent Bundle
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.12, no.2, pp.241-249, 2019 (ESCI, TRDizin)
- Publication Type: Article / Article
- Volume: 12 Issue: 2
- Publication Date: 2019
- Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
- Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Page Numbers: pp.241-249
- Keywords: Cotangent bundle, Riemannian extension, geodesic, para-Nordenian metric
- Karadeniz Technical University Affiliated: Yes
Abstract
In this article, we construct a new metric (sic) = (R)del + Sigma(m)(i.j=1) a(ji)delta p(j)delta(pi) in the cotangent bundle, where (R)del is the Riemannian extension and a(ji) is a symmetric (2,0)-tensor field on a differentiable manifold.