منابع مشابه
Linear Connections on Graphs
In recent years, discrete spaces such as graphs attract much attention as models for physical spacetime or as models for testing the spirit of non-commutative geometry. In this work, we construct the differential algebras for graphs by extending the work of Dimakis et al and discuss linear connections and curvatures on graphs. Especially, we calculate connections and curvatures explicitly for t...
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Let G be a (real or complex) semisimple Lie group, whose Lie algebra g is endowed with a so called jkj{grading, i.e. a grading of the form g = g ?k g k , such that no simple factor of G is of type A 1. Let P be the subgroup corresponding to the subalgebra p = g 0 g k. The aim of this paper is to clarify the geometrical meaning of Cartan connections corresponding to the pair (G; P) and to study ...
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چکیده ندارد.
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Linear connections are introduced on a series of noncommutative geometries which have commutative limits. Quasicommutative corrections are calculated. LPTHE Orsay 95/42; ESI Vienna 235 * Laboratoire associé au CNRS URA D0063
متن کاملParabolic Geometries and Canonical Cartan Connections
Let G be a (real or complex) semisimple Lie group, whose Lie algebra g is endowed with a so called |k|–grading, i.e. a grading of the form g = g−k ⊕ · · · ⊕ gk, such that no simple factor of G is of type A1. Let P be the subgroup corresponding to the subalgebra p = g0 ⊕ · · · ⊕ gk. The aim of this paper is to clarify the geometrical meaning of Cartan connections corresponding to the pair (G,P )...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1995
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/12/6/009