Cartan Spaces and Natural Foliations on the Cotangent Bundle
Dynamical Systems
2021-09-14 v3 Differential Geometry
Abstract
In this paper, the natural foliations in cotangent bundle T*M of Cartan space (M,K) are studied. It is shown that the geometry of these foliations is closely related to the geometry of the Cartan space (M,K) itself. This approach is used to obtain new characterizations of Cartan spaces with negative constant curvature.
Keywords
Cite
@article{arxiv.2008.05415,
title = {Cartan Spaces and Natural Foliations on the Cotangent Bundle},
author = {Hassan Attarchi and Morteza M. Rezaii},
journal= {arXiv preprint arXiv:2008.05415},
year = {2021}
}
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14 pages