Notes About a New Metric on the Cotangent Bundle

Authors : Filiz Ocak

Pages : 241-249

Doi:10.36890/iejg.542783

View : 38 | Download : 11

Publication Date : 2019-10-03

Article Type : Research Paper

Abstract :In this article, we construct a new metric $\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}}   \over G}  = {}^R\nabla  + \sum\limits_{i,j = 1}^m {a^{ji}} \delta {p_j}\delta {p_i}$   in the cotangent  bundle, where  ${}^R\nabla $ is the  Riemannian extension and   $ a^{ji}$ is a symmetric insert ignore into journalissuearticles values(2,0);-tensor field on a differentiable manifold.
Keywords : Cotangent bundle, Riemannian extension, geodesic, para Nordenian metric

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