Results 21 to 30 of about 1,134,625 (212)
The homogeneous structure in a Cartan space
Lietuvos Matematikos Rinkinys, 2013 The homogeneus almost product structure on the Finsler space have Lieviu Popescu studied. In this paper we study the integrability conditions for the homogeneus product structure in Cartan space with Miron connection.
Edmundas Mazėtis
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Cartan Connections on Lie Groupoids and their Integrability [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 A multiplicatively closed, horizontal $n$-plane field $D$ on a Lie groupoid $G$ over $M$ generalizes to intransitive geometry the classical notion of a Cartan connection. The infinitesimalization of the connection $D$ is a Cartan connection $\nabla $ on the Lie algebroid of $G$, a notion already studied elsewhere by the author. It is shown that $\nabla
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Scale invariant Einstein–Cartan theory in three dimensions
European Physical Journal C: Particles and Fields, 2023 We retreat the well-known Einstein–Cartan theory by slightly modifying the covariant derivative of spinor field by investigating double cover of the Lorentz group.
Muzaffer Adak, Nese Ozdemir, Ozcan Sert
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Journal of High Energy Physics, 2021 We construct various limits of JT gravity, including Newton-Cartan and Carrollian versions of dilaton gravity in two dimensions as well as a theory on the three-dimensional light cone.
Daniel Grumiller +3 more
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Parallel transports in the connections of three types for cocongruence K(n-m)m
Дифференциальная геометрия многообразий фигурWe continue to study the cocongruence of -dimensional planes using the Cartan — Laptev method. In an -dimensional projective space , the cocongruence of -dimensional planes can be given by the following equations .
Belova O. O.
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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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Theoretical and Applied Mechanics, 2019 In a note at the 1928 International Congress of Mathematicians Cartan outlined how his “method of equivalence” can provide the invariants of nonholonomic systems on a manifold 𝑄 with kinetic lagrangians [29].
Ehlers Kurt M., Koiller Jair
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Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics
Galaxies, 2018 Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
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he deformation pseudotensor of connections in cocongruence K (n - m)m
Дифференциальная геометрия многообразий фигур, 2023 The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
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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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