Piani e sfere osculatrici ad archi differenziabili
Lazzeri, F.
Bollettino dell'Unione Matematica Italiana, Tome 3 (2010), p. 111-124 / Harvested from Biblioteca Digitale Italiana di Matematica
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The existence of osculating planes is established for a large class of differentiable arcs in ℝn, called "coherent"; all analytic arcs, including the singular ones, belong to this family. On a coherent arc, osculating planes and spheres exist at any point and vary differentiably; Frenet formulas and curvatures are reformulated in order to generalize the classical ones. Coherent arcs form an open set in the space of all arcs, with infinite codimensional complement.

Publié le : 2010-02-01
@article{BUMI_2010_9_3_1_111_0,
     author = {F. Lazzeri},
     title = {Piani e sfere osculatrici ad archi differenziabili},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3},
     year = {2010},
     pages = {111-124},
     zbl = {1192.53006},
     mrnumber = {2605914},
     language = {it},
     url = {http://dml.mathdoc.fr/item/BUMI_2010_9_3_1_111_0}
}

Lazzeri, F. Piani e sfere osculatrici ad archi differenziabili. Bollettino dell'Unione Matematica Italiana, Tome 3 (2010) pp. 111-124. http://gdmltest.u-ga.fr/item/BUMI_2010_9_3_1_111_0/