On the Cheeger-Gromoll metric

2014/12/17 by Melek Aras, Aras, Melek
Mathematics · #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.1412.6414

Abstract

The purpose of this paper is to investigate applications the covariant derivatives, killing vector fields and to calculate the components of the curvature tensor CGR of the Cheeger-Gromoll metric with respect to adapted frames in a the Riemannian manifold to its tangent bundle T(Mn)

Related

• Cheeger Gromoll type metrics on the tangent bundle
• The geometry of generalised Cheeger-Gromoll metrics
• Conformality of a differential with respect to Cheeger-Gromoll type metrics
• On the geometry of the normal bundle with a metric of Cheeger-Gromoll type
• Generalized Cheeger-Gromoll Metrics and the Hopf map