Submanifolds and Quotient Manifolds in Noncommutative Geometry

Abstract

We define and study noncommutative generalizations of submanifolds and quotient manifolds, for the derivation-based differential calculus introduced by M.~Dubois-Violette and P.~Michor. We give examples to illustrate these definitions.

20 pages, AMSLaTeX

References in corpus (3)

• Connections on central bimodules
• The Frölicher-Nijenhuis bracket in non-commutative differential geometry
• Some Concepts of Modern Algebraic Geometry: Point, Ideal and Homomorphism

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