Willmore Function on Curvatures of The Curve-Surface Pair Under Mobius Transformation

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Soc Paranaense Matematica

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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 Mobius transformation is provided invariant.

Açıklama

Anahtar Kelimeler

Curve-surface pair, mobius transformation, curvature, Willmore function

Kaynak

Boletim Sociedade Paranaense De Matematica

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

40

Sayı

Künye