A LIPSCHITZ VERSION OF DE RHAM THEOREM FOR Lp-COHOMOLOGY

Vladimir Gol’Dshtein; Roman Panenko

A LIPSCHITZ VERSION OF DE RHAM THEOREM FOR L_p-COHOMOLOGY

Vladimir Gol’Dshtein, Roman Panenko

Department of Mathematics

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

2 Scopus citations

Abstract

We focus our attention on the de Rham operators’ underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry.

Original language	English
Pages (from-to)	189-204
Number of pages	16
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	177
Issue number	2
State	Published - 1 Aug 2023

Keywords

Bounded geometry
De Rham complex
De Rham theorem
Differential forms
Lipschitz analysis
Metric simplicial complex
Mollifier
Whitney form

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "A LIPSCHITZ VERSION OF DE RHAM THEOREM FOR Lp-COHOMOLOGY",

abstract = "We focus our attention on the de Rham operators{\textquoteright} underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry.",

keywords = "Bounded geometry, De Rham complex, De Rham theorem, Differential forms, Lipschitz analysis, Metric simplicial complex, Mollifier, Whitney form",

author = "Vladimir Gol{\textquoteright}Dshtein and Roman Panenko",

year = "2023",

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T1 - A LIPSCHITZ VERSION OF DE RHAM THEOREM FOR Lp-COHOMOLOGY

AU - Gol’Dshtein, Vladimir

AU - Panenko, Roman

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N2 - We focus our attention on the de Rham operators’ underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry.

AB - We focus our attention on the de Rham operators’ underlying properties which are specified by intrinsic effects of differential geometry structures. And then we apply the procedure of regularization in the context of Lipschitz version of de Rham calculus on metric simplicial complexes with bounded geometry.

KW - Bounded geometry

KW - De Rham complex

KW - De Rham theorem

KW - Differential forms

KW - Lipschitz analysis

KW - Metric simplicial complex

KW - Mollifier

KW - Whitney form

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M3 - Article

AN - SCOPUS:85167814342

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JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 2

ER -

A LIPSCHITZ VERSION OF DE RHAM THEOREM FOR L_p-COHOMOLOGY

Abstract

Keywords

ASJC Scopus subject areas

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