Geodesically Complete Lie Algebroid
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 5
Abstract
In this paper we introduce the notion of geodesically complete Lie algebroid. We give a Riemannian distance on the connected base manifold of a Riemannian Lie algebroid. We also prove that the distance is equivalent to natural one if the base manifold was endowed with Riemannian metric. We obtain Hopf Rinow type theorem in the case of transitive Riemannian Lie algebroid, and give a characterization of the connected base manifold of a geodesically complete Lie algebroid.
Authors and Affiliations
Mahamane Saminou Ali, Mouhamadou Hassirou, Bazanfare Mahaman
Keywords
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- EP ID EP322639
- DOI 10.9734/BJMCS/2017/34009
- Views 71
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