On curvature in noncommutative geometry

被引：41

作者：

DuboisViolette, M ^{[1
]}

Madore, J ^{[1
]}

Masson, T ^{[1
]}

Mourad, J ^{[1
]}

机构：

[1] UNIV CERGY PONTOISE,GPS,CERGY,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1996年 / 37卷 / 08期

关键词：

D O I：

10.1063/1.531618

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general definition of a bimodule connection in noncommutative geometry has been recently proposed. For a given algebra this definition is compared with the ordinary definition of a connection on a left module over the associated enveloping algebra. The corresponding curvatures are-also compared. (C) 1996 American Institute of Physics.

引用

页码：4089 / 4102

页数：14

共 50 条

[1] The Ricci curvature in noncommutative geometry
Floricel, Remus
Ghorbanpour, Asghar
Khalkhali, Masoud
[J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2019, 13 (01) : 269 - 296
[2] Soliton equations and the zero curvature condition in noncommutative geometry
Dimakis, A
MullerHoissen, F
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22): : 7279 - 7286
[3] Noncommutative potential theory and the sign of the curvature operator in Riemannian geometry
Cipriani, F
Sauvageot, JL
[J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2003, 13 (03) : 521 - 545
[4] Noncommutative potential theory and the sign of the curvature operator in Riemannian geometry
Fabio Cipriani
Jean-Luc Sauvageot
[J]. Geometric & Functional Analysis GAFA, 2003, 13 : 521 - 545
[5] Scalar curvature in conformal geometry of Connes-Landi noncommutative manifolds
Liu, Yang
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2017, 121 : 138 - 165
[6] NONCOMMUTATIVE GEOMETRY
CONNES, A
[J]. LECTURE NOTES IN MATHEMATICS, 1992, 1525 : 40 - 58
[7] Noncommutative geometry and quantization
Várilly, JC
[J]. PROCEEDINGS OF THE X JORGE ANDRE SWIECA SUMMER SCHOOL ON PARTICLES AND FIELDS, 2000, : 321 - 346
[8] Noncommutative geometry as a regulator
Ydri, B
[J]. PHYSICAL REVIEW D, 2001, 63 (02):
[9] Noncommutative geometry and arithmetics
Almeida, P.
[J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2009, 16 (03) : 350 - 362
[10] Noncommutative algebraic geometry
Laudal, OA
[J]. REVISTA MATEMATICA IBEROAMERICANA, 2003, 19 (02) : 509 - 580

← 1 2 3 4 5 →