A periodic unfolding operator on certain compact Riemannian manifolds

Sören Dobberschütz; Michael Böhm

doi:10.1016/j.crma.2012.11.001

A periodic unfolding operator on certain compact Riemannian manifolds

Sören Dobberschütz, Michael Böhm

Department of Chemistry

3 Citations (Scopus)

Abstract

In this note, we present a generalisation of the method of periodic unfolding, which can be applied to structures defined on certain compact Riemannian manifolds. While many results known from unfolding in domains of Rn can be recovered, for the unfolding of gradients a transport operator has to be defined.

Translated title of the contribution	Un opérateur dʼéclatement périodique pour quelques variétés riemanniennes compactes
Original language	English
Journal	Comptes Rendus Mathématique
Volume	350
Issue number	23-24
Pages (from-to)	1027– 1030
Number of pages	4
ISSN	1631-073X
DOIs	https://doi.org/10.1016/j.crma.2012.11.001
Publication status	Published - Dec 2012

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https://comptes-rendus.academie-sciences.fr/mathematique/item/10.1016/j.crma.2012.11.001.pdf

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AU - Böhm, Michael

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AB - In this note, we present a generalisation of the method of periodic unfolding, which can be applied to structures defined on certain compact Riemannian manifolds. While many results known from unfolding in domains of Rn can be recovered, for the unfolding of gradients a transport operator has to be defined.

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SP - 1027

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

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A periodic unfolding operator on certain compact Riemannian manifolds

Abstract

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