Noncommutative Differential Geometry and Connections on Simplicial Manifolds

Abstract

For a simplicial manifold we construct the differential geometry structure and use it to investigate linear connections, metric and gravity. We discuss and compare three main approaches and calculate the resulting gravity action functionals.

LaTeX2e, uses AMS-LaTeX package, 25 pages

References in corpus (3)

• Differential calculus and gauge theory on finite sets
• Linear connections on matrix geometries
• Gravity from Noncommutative Geometry

Cited by in corpus (1)

• Lattice Gauge Fields and Noncommutative Geometry