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Cartan Spaces and Natural Foliations on the Cotangent Bundle (2008.05415v3)
Published 12 Aug 2020 in math.DS and math.DG
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.