A conformal de Rham complex

Vladimir Gol'dshtein; Marc Troyanov

doi:10.1007/s12220-010-9119-2

A conformal de Rham complex

Vladimir Gol'dshtein, Marc Troyanov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant.

Original language	English
Pages (from-to)	651-669
Number of pages	19
Journal	Journal of Geometric Analysis
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/s12220-010-9119-2
State	Published - 1 Jul 2010

Keywords

Conformal invariants
L-cohomology
Quasiconformal maps

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-010-9119-2

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abstract = "We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant.",

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AB - We introduce the notion of a conformal de Rham complex of a Riemannian manifold. This is a graded differential Banach algebra and it is invariant under quasiconformal maps, in particular the associated cohomology is a new quasiconformal invariant.

KW - Conformal invariants

KW - L-cohomology

KW - Quasiconformal maps

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A conformal de Rham complex

Abstract

Keywords

ASJC Scopus subject areas

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