54 citations · 497 across the 36 of their papers we have counts for
5 papers · 1 filter
Heat coefficient for nonminimal Laplace type operators
Bruno Iochum, Thierry Masson
Given a smooth hermitean vector bundle of fiber over a compact Riemannian manifold and a covariant derivative on , let $P = -(\lvert g \rvert^{-1/2}…
Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori
Bruno Iochum, Thierry Masson
Let be a Laplace type operator acting on a smooth hermitean vector bundle of fiber over a compact Riemannian manifold given locally by $P= - [g^{μν} u(x)\par…
Local description of generalized forms on transitive Lie algebroids and applications
Cédric Fournel, Serge Lazzarini, Thierry Masson
In this paper we study the local description of spaces of forms on transitive Lie algebroids. We use this local description to introduce global structures like metrics, -Hodg…
Connections on Lie algebroids and on derivation-based noncommutative geometry
Serge Lazzarini, Thierry Masson
In this paper we show how connections and their generalizations on transitive Lie algebroids are related to the notion of connections in the framework of the derivation-based nonco…
On the Noncommutative Geometry of the Endomorphism Algebra of a Vector Bundle
T. Masson
In this letter we investigate some aspects of the noncommutative differential geometry based on derivations of the algebra of endomorphisms of an oriented complex hermitian vector…