On the noncommutative geometry of the endomorphism algebra of a vector bundle

Authors
Masson, T
Citation
T. Masson, On the noncommutative geometry of the endomorphism algebra of a vector bundle, J GEOM PHYS, 31(2-3), 1999, pp. 142-152
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
31
Issue
2-3
Year of publication
1999
Pages
142 - 152
Database
ISI
SICI code
0393-0440(199909)31:2-3<142:OTNGOT>2.0.ZU;2-I
Abstract
In this paper we investigate some aspects of the noncommutative differentia l geometry based on derivations of the algebra of endomorphisms of an orien ted complex hermitian vector bundle. We relate it, in a natural way, to the geometry of the underlying principal bundle, we introduce on it a notion o f metric and we study the cohomology of its complex of noncommutative diffe rential forms. (C) 1999 Elsevier Science B.V. All rights reserved.