Results 11 to 20 of about 989 (170)
Cartan connections and Atiyah Lie algebroids [PDF]
Journal of Geometry and Physics, 2020 27 pages.
Attard, Jérémy +3 more
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Cartan Connections and Lie Algebroids [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), 3651-3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511-1548].
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Cones and Cartan geometry [PDF]
, 2021 We show that the extended principal bundle of a Cartan geometry of type (A(m,R),GL(m,R)), endowed with its extended connection ωˆ, is isomorphic to the principal A(m,R)-bundle of affine frames endowed with the affine connection as defined in classical ...
Olmos C. E. +5 more
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Non-holonomic connections following Élie Cartan [PDF]
Anais da Academia Brasileira de Ciências, 2001 In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic.
KOILLER, JAIR +2 more
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Geometry of extended Bianchi-Cartan-Vranceanu spaces [PDF]
, 2019 The differential geometry of three-dimensional Bianchi, Cartan and Vranceanu (BCV) spaces is well known. We introduce the extended Bianchi, Cartan and Vranceanu (EBCV) spaces as a natural seven-dimensional generalization of BCV spaces and study some of
Naveira, Antonio M. +2 more
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Cartan connections for stochastic developments on sub-Riemannian manifolds [PDF]
, 2020 Analogous to the characterisation of Brownian motion on a Riemannian manifold as the development of Brownian motion on a Euclidean space, we construct sub-Riemannian diffusions on equinilpotentisable sub-Riemannian manifolds by developing a canonical ...
Habermann, Karen +2 more
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Cartan Connection and Curvature Forms
, 2017 We define the notion of connection and curvature of the connection.
Johar, M. Syafiq (8187057) +1 more
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Differential geometry of Cartan connections
Publicationes Mathematicae Debrecen, 1995 For a more general notion of Cartan connection we define characteristic classes, we investigate their relation to usual characteristic classes.
Alekseevsky, D. V., Michor, P. W.
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Cartan connections in foliated bundles.
Michigan Mathematical Journal, 1984 The notion of a Cartan connection in a foliated principal bundle over a foliated manifold is introduced and studied. This notion generalizes that of a Cartan connection in an ordinary principal bundle, and provides a unified approach to the study of many types of transverse geometric structures on foliations.
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Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Sheina, Kseniya Igorevna +1 more
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