On the noncommutative geometry of the endomorphism algebra of a vector bundle. (English) Zbl 0940.46046
The author investigates some aspects of the noncommutative differential geometry based on derivations of the algebra of endomorphisms of an oriented complex hermitian vector bundle. He relates it, in a natural way, to the geometry of the underlying principal bundle. He also introduces on it a notion of a metric and studies the cohomology of its complex of noncommutative differential forms.
Reviewer: Zvonko Čerin (Zagreb)
Keywords:
noncommutative differential geometry; derivations of the algebra of endomorphisms; oriented complex hermitian vector bundle; principal bundle; noncommutative differential formsReferences:
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