Willmore function on curvatures of the curve-surface pair under mobius transformation-Reference-Cited by-同舟云学术

Willmore function on curvatures of the curve-surface pair under mobius transformation

Published:2022-01-31 Issue: Volume:40 Page:1-4
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Ertem Kaya Filiz¹^ORCID

Affiliation:

1. University of Nigde Omer halisdemir

Abstract

We find a geometric invariant of the curve-surface pairs on Willmore functions with the mean and Gauss curvatures. Similar to the work in [5,19], in this work, we define Willmore functions on curve--surface pair and give new characterizations about Willmore functions with necessary and sufficient condition with strip theory in Euclidean 3-space for the first time. In this paper Willmore function on curvatures of the curve-surface pair under Möbiüs transformation is provided invariant.

Funder

Niğde Üniversitesi

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference24 articles.

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