We study surfaces with plane lines of curvature in the framework of Laguerre geometry and provide explicit representation formulae for these surfaces in terms of a potential function. As an application, we explicitly integrate all L-minimal surfaces with plane curvature lines.

Laguerre geometry of surfaces with plane lines of curvature / Musso, E.; Nicolodi, Lorenzo. - In: ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG. - ISSN 0025-5858. - 69(1999), pp. 123-138.

Laguerre geometry of surfaces with plane lines of curvature

NICOLODI, Lorenzo
1999

Abstract

We study surfaces with plane lines of curvature in the framework of Laguerre geometry and provide explicit representation formulae for these surfaces in terms of a potential function. As an application, we explicitly integrate all L-minimal surfaces with plane curvature lines.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/1458170
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