Surfaces with a family of nongeodesic biharmonic curves

The only surface whose level curves of the Gauss curvature are nongeodesic biharmonic curves and such that the gradient lines are geodesics is, up to local isometries, the revolution surface defined by Caddeo-Montaldo-Piu.

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Autor principal:	J. Monterde
Formato:	article
Lenguaje:	EN FR IT
Publicado:	Sapienza Università Editrice 2008
Materias:	biharmonic curves surfaces of revolution Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/cf7dfd1a2ddd416688501f5d6da6c577
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spelling	oai:doaj.org-article:cf7dfd1a2ddd416688501f5d6da6c5772021-11-29T17:02:21ZSurfaces with a family of nongeodesic biharmonic curves1120-71832532-3350https://doaj.org/article/cf7dfd1a2ddd416688501f5d6da6c5772008-01-01T00:00:00Zhttps://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2008(2)/123-131.pdfhttps://doaj.org/toc/1120-7183https://doaj.org/toc/2532-3350The only surface whose level curves of the Gauss curvature are nongeodesic biharmonic curves and such that the gradient lines are geodesics is, up to local isometries, the revolution surface defined by Caddeo-Montaldo-Piu.J. MonterdeSapienza Università Editricearticlebiharmonic curvessurfaces of revolutionMathematicsQA1-939ENFRITRendiconti di Matematica e delle Sue Applicazioni, Vol 28, Iss 2, Pp 123-131 (2008)
institution	DOAJ
collection	DOAJ
language	EN FR IT
topic	biharmonic curves surfaces of revolution Mathematics QA1-939
spellingShingle	biharmonic curves surfaces of revolution Mathematics QA1-939 J. Monterde Surfaces with a family of nongeodesic biharmonic curves
description	The only surface whose level curves of the Gauss curvature are nongeodesic biharmonic curves and such that the gradient lines are geodesics is, up to local isometries, the revolution surface defined by Caddeo-Montaldo-Piu.
format	article
author	J. Monterde
author_facet	J. Monterde
author_sort	J. Monterde
title	Surfaces with a family of nongeodesic biharmonic curves
title_short	Surfaces with a family of nongeodesic biharmonic curves
title_full	Surfaces with a family of nongeodesic biharmonic curves
title_fullStr	Surfaces with a family of nongeodesic biharmonic curves
title_full_unstemmed	Surfaces with a family of nongeodesic biharmonic curves
title_sort	surfaces with a family of nongeodesic biharmonic curves
publisher	Sapienza Università Editrice
publishDate	2008
url	https://doaj.org/article/cf7dfd1a2ddd416688501f5d6da6c577
work_keys_str_mv	AT jmonterde surfaceswithafamilyofnongeodesicbiharmoniccurves
_version_	1718407251018907648

Surfaces with a family of nongeodesic biharmonic curves

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