M. Troyanov

activity

20052026

most citedSobolev Inequalities for Differential Forms and

L_{q, p}

-cohomology

55 citations · 206 across the 33 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.DG2009★ 5 cited

The Hölder-Poincaré Duality for $L_{q, p}$ -cohomology

Vladimir Gol'dshtein, Marc Troyanov

We prove the following version of Poincare duality for reduced $L_{q, p}$ -cohomology: For any $1 < q, p < \infty$ , the $L_{q, p}$ -cohomology of a Riemannian manifold is in duality with th…

math.DG2009

A short proof of the Hölder-Poincaré Duality for $L_{p}$ -cohomology

Vladimir Gol'dshtein, Marc Troyanov

We give a short proof of the duality theorem for the reduced $L_{p}$ -cohomology of a complete oriented Riemannian manifold.

The Hölder-Poincaré Duality for Lq,p​-cohomology

A short proof of the Hölder-Poincaré Duality for Lp​-cohomology

The Hölder-Poincaré Duality for $L_{q, p}$ -cohomology

A short proof of the Hölder-Poincaré Duality for $L_{p}$ -cohomology