On Killing vector fields on a tangent bundle with g-natural metric Part I

Authors

  • S. Ewert-Krzemieniewski

DOI:

https://doi.org/10.1285/i15900932v34n2p107

Keywords:

Riemannian manifold, tangent bundle, g - natural metric, Killing vector field, , non-degenerate metric

Abstract

The tangent bundle of a Riemannian manifold (M, g) with a non-degenerate g− natural metric G that admits a Killing vector field is investigated. Using Taylor’s formula (TM,G) is decomposed into four classes. The equivalence of the existence of Killing vector field on M and TM is proved. More detailed investigaton of the classes is done in the part II of the paper.

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Published

15-02-2015

Issue

Volume 34, Issue 2 (2014)

Section

Articoli

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