L-minimal canal surfaces

By the method of moving frames we provide an explicit, elementary description of the enveloping surfaces of a 1-parameter family of oriented spheres that are extremals of the variational problem defined on immersed surfaces in Euclidean space by the functional (f,S) → , (H2 − K)K−1dA (L-minimal cana...

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Bibliographic Details
Main Authors: E. MUSSO, L. NICOLODI
Format: Article
Language:English
Published: Sapienza Università Editrice 1995-06-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1995(3)/421-445.pdf
Description
Summary:By the method of moving frames we provide an explicit, elementary description of the enveloping surfaces of a 1-parameter family of oriented spheres that are extremals of the variational problem defined on immersed surfaces in Euclidean space by the functional (f,S) → , (H2 − K)K−1dA (L-minimal canal surfaces).
ISSN:1120-7183
2532-3350