Harmonic deformation of planar curves
type: Item
instance of: scholarly article
title: Harmonic deformation of planar curves
zbMATH Open document ID: 1216.31002
DOI: 10.1155/2011/141209
author: Eleutherius Symeonidis
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2011-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/222657
review text: Summary: We establish a principle of deformation of an arbitrary planar curve, so that the integral of a harmonic function over this curve does not change. The equations of deformation can be derived from a specific ``potential.'' Several applications are presented.
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 5900707
zbMATH Keywords: harmonic function
zbMATH Keywords: deformation of planar curves
Wikidata QID: Q58687638
MaRDI profile type: Publication
OpenAlex ID: W2049569675
cites work: A Poisson Integral Formula for the Ellipse and Some Applications
cites work: Q3170032
cites work: Q4004082
DBLP publication ID: journals/ijmmsc/Symeonidis11
description: scientific article; zbMATH DE number 5900707