Piani e sfere osculatrici ad archi differenziabili

F. Lazzeri

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 1, page 111-124
  • ISSN: 0392-4041

Abstract

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The existence of osculating planes is established for a large class of differentiable arcs in ℝ n , 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.

How to cite

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Lazzeri, F.. "Piani e sfere osculatrici ad archi differenziabili." Bollettino dell'Unione Matematica Italiana 3.1 (2010): 111-124. <http://eudml.org/doc/290658>.

@article{Lazzeri2010,
author = {Lazzeri, F.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {ita},
month = {2},
number = {1},
pages = {111-124},
publisher = {Unione Matematica Italiana},
title = {Piani e sfere osculatrici ad archi differenziabili},
url = {http://eudml.org/doc/290658},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Lazzeri, F.
TI - Piani e sfere osculatrici ad archi differenziabili
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/2//
PB - Unione Matematica Italiana
VL - 3
IS - 1
SP - 111
EP - 124
LA - ita
UR - http://eudml.org/doc/290658
ER -

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