In the first section the authors motivate the publication of this paper, drawn from a thesis discussed at the Trieste University in 1961, and written in memory of the work of Antonio Marussi, on the occasion of one century from his birth. In §2 the problem of the existence of an orthogonal coordinate system adapted to a family of equipotential surfaces is discussed and a historical Darboux condition is derived and illustrated through examples. In §3 the transformation of the Darbaux condition into an intrinsic form is presented. Short conclusions follow.
On the existence of Lamè orthogonal families adapted to a given potential functions
SANSO', FERNANDO
2008-01-01
Abstract
In the first section the authors motivate the publication of this paper, drawn from a thesis discussed at the Trieste University in 1961, and written in memory of the work of Antonio Marussi, on the occasion of one century from his birth. In §2 the problem of the existence of an orthogonal coordinate system adapted to a family of equipotential surfaces is discussed and a historical Darboux condition is derived and illustrated through examples. In §3 the transformation of the Darbaux condition into an intrinsic form is presented. Short conclusions follow.File in questo prodotto:
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