Geodesic curvature of a curve of a vector field

Let V be a vector field in a surface in a Euclidean apace of three dimensions. PAN has studied the normal curvature of the vector field V with generalization obtained by the author. The object of the present note is to define the geodesic curvature of the curve of the vector field and obtain some properties. As a special case when the curves of the vector field V form an orthogonal net of co ordinate curves, these geodesic curvatures have the known form.

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Gazeta nº 98, pág. nº 1 | Categoria: Artigos | Palavras-Chave: gazeta, matemática, curvatura
Autor(es): R. N. Kaul |