Discrete channel surfaces-Reference-Cited by-同舟云学术

Discrete channel surfaces

Published:2019-09-17 Issue:1-2 Volume:294 Page:747-767
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Hertrich-Jeromin Udo,Rossman Wayne,Szewieczek Gudrun

Abstract

Abstract We present a definition of discrete channel surfaces in Lie sphere geometry, which reflects several properties for smooth channel surfaces. Various sets of data, defined at vertices, on edges or on faces, are associated with a discrete channel surface that may be used to reconstruct the underlying particular discrete Legendre map. As an application we investigate isothermic discrete channel surfaces and prove a discrete version of Vessiot’s Theorem.

Funder

TU Wien

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00209-019-02389-4.pdf

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