Bäcklund transformations of linear Weingarten surfaces in Minkowski three-space

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The classical Bäcklund transformation, which transforms surfaces of constant negative curvature, has been extended to surfaces in Minkowski three-space. In this article the tangency requirement of the Bäcklund transformation is relaxed to obtain a transformation of surfaces of Minkowski three-space with mean and Gaussian curvatures satisfying a linear relationship.

Original languageEnglish (US)
Pages (from-to)4719-4724
Number of pages6
JournalJournal of Mathematical Physics
Volume35
Issue number9
DOIs
StatePublished - Jan 1 1994

Fingerprint

Weingarten Surface
curvature
Negative Curvature
Total curvature
Mean Curvature
Transform
requirements
Requirements

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

@article{32dfb28c255e45eca06da79f4fb53f58,
title = "B{\"a}cklund transformations of linear Weingarten surfaces in Minkowski three-space",
abstract = "The classical B{\"a}cklund transformation, which transforms surfaces of constant negative curvature, has been extended to surfaces in Minkowski three-space. In this article the tangency requirement of the B{\"a}cklund transformation is relaxed to obtain a transformation of surfaces of Minkowski three-space with mean and Gaussian curvatures satisfying a linear relationship.",
author = "Buyske, {Steven G.}",
year = "1994",
month = "1",
day = "1",
doi = "10.1063/1.530809",
language = "English (US)",
volume = "35",
pages = "4719--4724",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "9",

}

Bäcklund transformations of linear Weingarten surfaces in Minkowski three-space. / Buyske, Steven G.

In: Journal of Mathematical Physics, Vol. 35, No. 9, 01.01.1994, p. 4719-4724.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Bäcklund transformations of linear Weingarten surfaces in Minkowski three-space

AU - Buyske, Steven G.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - The classical Bäcklund transformation, which transforms surfaces of constant negative curvature, has been extended to surfaces in Minkowski three-space. In this article the tangency requirement of the Bäcklund transformation is relaxed to obtain a transformation of surfaces of Minkowski three-space with mean and Gaussian curvatures satisfying a linear relationship.

AB - The classical Bäcklund transformation, which transforms surfaces of constant negative curvature, has been extended to surfaces in Minkowski three-space. In this article the tangency requirement of the Bäcklund transformation is relaxed to obtain a transformation of surfaces of Minkowski three-space with mean and Gaussian curvatures satisfying a linear relationship.

UR - http://www.scopus.com/inward/record.url?scp=21844515508&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21844515508&partnerID=8YFLogxK

U2 - 10.1063/1.530809

DO - 10.1063/1.530809

M3 - Article

AN - SCOPUS:21844515508

VL - 35

SP - 4719

EP - 4724

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 9

ER -