On the geometry of frame bundles
Archivum Mathematicum (2012)
- Volume: 048, Issue: 3, page 197-206
- ISSN: 0044-8753
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topNiedziałomski, Kamil. "On the geometry of frame bundles." Archivum Mathematicum 048.3 (2012): 197-206. <http://eudml.org/doc/246287>.
@article{Niedziałomski2012,
abstract = {Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle $TM$. We compute the Levi–Civita connection and curvatures of these metrics.},
author = {Niedziałomski, Kamil},
journal = {Archivum Mathematicum},
keywords = {Riemannian manifold; frame bundle; tangent bundle; natural metric; Riemannian manifold; frame bundle; tangent bundle; natural metric},
language = {eng},
number = {3},
pages = {197-206},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the geometry of frame bundles},
url = {http://eudml.org/doc/246287},
volume = {048},
year = {2012},
}
TY - JOUR
AU - Niedziałomski, Kamil
TI - On the geometry of frame bundles
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 3
SP - 197
EP - 206
AB - Let $(M,g)$ be a Riemannian manifold, $L(M)$ its frame bundle. We construct new examples of Riemannian metrics, which are obtained from Riemannian metrics on the tangent bundle $TM$. We compute the Levi–Civita connection and curvatures of these metrics.
LA - eng
KW - Riemannian manifold; frame bundle; tangent bundle; natural metric; Riemannian manifold; frame bundle; tangent bundle; natural metric
UR - http://eudml.org/doc/246287
ER -
References
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