On g -natural conformal vector fields on unit tangent bundles

Mohamed Tahar Kadaoui Abbassi; Noura Amri

Czechoslovak Mathematical Journal (2021)

  • Issue: 1, page 75-109
  • ISSN: 0011-4642

Abstract

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We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian g -natural metric. We characterize the conformal and Killing conditions for classical lifts of vector fields and we give a full classification of conformal fiber-preserving vector fields on the unit tangent bundle endowed with an arbitrary pseudo-Riemannian Kaluza-Klein type metric.

How to cite

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Abbassi, Mohamed Tahar Kadaoui, and Amri, Noura. "On $g$-natural conformal vector fields on unit tangent bundles." Czechoslovak Mathematical Journal (2021): 75-109. <http://eudml.org/doc/297384>.

@article{Abbassi2021,
abstract = {We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian $g$-natural metric. We characterize the conformal and Killing conditions for classical lifts of vector fields and we give a full classification of conformal fiber-preserving vector fields on the unit tangent bundle endowed with an arbitrary pseudo-Riemannian Kaluza-Klein type metric.},
author = {Abbassi, Mohamed Tahar Kadaoui, Amri, Noura},
journal = {Czechoslovak Mathematical Journal},
keywords = {conformal vector field; unit tangent bundle; $g$-natural metric},
language = {eng},
number = {1},
pages = {75-109},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On $g$-natural conformal vector fields on unit tangent bundles},
url = {http://eudml.org/doc/297384},
year = {2021},
}

TY - JOUR
AU - Abbassi, Mohamed Tahar Kadaoui
AU - Amri, Noura
TI - On $g$-natural conformal vector fields on unit tangent bundles
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 75
EP - 109
AB - We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian $g$-natural metric. We characterize the conformal and Killing conditions for classical lifts of vector fields and we give a full classification of conformal fiber-preserving vector fields on the unit tangent bundle endowed with an arbitrary pseudo-Riemannian Kaluza-Klein type metric.
LA - eng
KW - conformal vector field; unit tangent bundle; $g$-natural metric
UR - http://eudml.org/doc/297384
ER -

References

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