Results 161 to 170 of about 601 (176)

Normed Groups and Their Applications in Noncommutative Differential Geometry

Journal of Mathematical Sciences, 2003
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Noncommutative Differential Geometry and the Structure of Space Time

1997
Abstract One of the original motivations of noncommutative geometry is to apply geo metric ideas and concepts to spaces which are intractable if considered from the usual set-theoretic ideas of Riemannian geometry. Among the first examples of such spaces are the leaf spaces of foliations or the duals of noncommutative discrete groups.
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Stochastic differential calculus, the Moyal *-product, and noncommutative geometry

Letters in Mathematical Physics, 1993
The authors present a reformulation of the Itõ calculus of stochastic differentials in terms of a differential calculus in the sense of noncommutative geometry. In this calculus, differentials do not commute with functions. The relation between both types of differential calculi is mediated by a generalized Moyal *-product.
Dimakis, Aristophanes, Müller-Hoissen, Folkert   +1 more
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Noncommutative geometry with graded differential Lie algebras

Journal of Mathematical Physics, 1997
Starting with a Hilbert space endowed with a representation of a unitary Lie algebra and an action of a generalized Dirac operator, we develop a mathematical concept towards gauge field theories. This concept shares common features with the Connes–Lott prescription of noncommutative geometry, differs from that, however, by the implementation of unitary
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An Introduction to Noncommutative Differential Geometry and its Physical Applications

1999
This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed.
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Noncommutative differential geometry and new models of gauge theory

Journal of Mathematical Physics, 1990
Michel Dubois-Violette, Richard Kerner, John Madore   +2 more
exaly  

∗-compatible connections in noncommutative Riemannian geometry

Journal of Geometry and Physics, 2011
Edwin J Beggs, Shahn Majid
exaly  

Noncommutative geometry and quiver algebras

Advances in Mathematics, 2007
William Crawley-Boevey, Pavel Étingof, VÍCTOR Ginzburg   +2 more
exaly  

Riemannian geometry of noncommutative surfaces

Journal of Mathematical Physics, 2008
A Tureanu, R B Zhang, Xiao Zhang
exaly  

Maximal extension of the Schwarzschild space-time inspired by noncommutative geometry

Journal of Mathematical Physics, 2010
Ivan Arraut, D Batic, M Nowakowski
exaly