On the (2k + 2)-vertex and (2k + 2)-flattening theorems in higher dimensional Lobatchevskian space;Sur les théorèmes des 2k + 2 sommets et 2k + 2 aplatissements dans l'espace de lobatchevski en dimensions supérieures

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 5, 1997, Pages 505-510

  Vargas, Ricardo Uribe ^a  

^a UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031232275     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)88897-0     Document Type: Article

References (5)

1. [1] Arnold V. I., 1995. On the number of flattening points of space curves, Amer. Math. Soc. Trans. Ser., 171, pp. 11-22.
2. [2] Barner M., 1956. Über die Mindestanzahl stationarer Schmiegebenen bei geschlossenen Streng-Konvexen Raumkurven, Abh. Math. Sem. Univ. Hamburg, 20, pp. 196-215.
3. [3] Kazarian M., 1996. Nonlinear version of Arnold's theorem on flattening points, C. R. Acad. Sci. Paris, 323, Série I, no. 1, pp. 63-68.
4. [4] Sedykh V. D., 1994. The connection of the lagrangian and legendrian singularities by the stereographic projection (in russian), Mathematicheski Sbornik, 185, No. 12, pp. 123-130.
5. [5] Uribe R., 1995. On the higher dimensional four-vertex theorem, C. R. Acad. Sci. Paris, 321, Série I, pp. 1353-1358.