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
1999-01-01

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.
1999
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1458170
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