Critical points of the acceleration in $ {\mathbb{CP}}^{2}(4)$

Arroyo, Josu; Garay, Óscar J.; Mencía, José J.

doi:10.1016/j.crma.2007.06.015

Differential Geometry

Critical points of the acceleration in

{CP}^{2} (4)

[Points critiques de l'accélération en

{CP}^{2} (4)

]

Présenté par : Étienne Ghys

Arroyo, Josu ¹ ; Garay, Óscar J.¹ ; Mencía, José J.¹

¹ Dpto. de Matemáticas, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Aptdo 644, 48080 Bilbao, Spain

Comptes Rendus. Mathématique, Tome 345 (2007) no. 3, pp. 161-166.

Résumé
Abstract

Nous étudions le problème variationnel associé à la norme $L^{2}$ de l'accélération angulaire pour des variations de courbe de longueur constante. Nous déterminons les courbes critiques fermées paramétrées par des abscisses curvilignes à pente constante en ${CP}^{2} (4)$ .

We study the variational problem associated to the $L^{2}$ norm of the angular acceleration for curve variations of constant length. We determine the unit speed closed critical curves with constant slant in ${CP}^{2} (4)$ .

Reçu le : 2007-02-02
Accepté le : 2007-06-12
Publié le : 2007-07-25

DOI : 10.1016/j.crma.2007.06.015

Affiliations des auteurs :

Arroyo, Josu ¹ ; Garay, Óscar J. ¹ ; Mencía, José J. ¹

¹ Dpto. de Matemáticas, Facultad de Ciencia y Tecnología, Universidad del País Vasco, Aptdo 644, 48080 Bilbao, Spain

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     title = {Critical points of the acceleration in $ {\mathbb{CP}}^{2}(4)$},
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Arroyo, Josu; Garay, Óscar J.; Mencía, José J. Critical points of the acceleration in $ {\mathbb{CP}}^{2}(4)$. Comptes Rendus. Mathématique, Tome 345 (2007) no. 3, pp. 161-166. doi : 10.1016/j.crma.2007.06.015. http://www.numdam.org/articles/10.1016/j.crma.2007.06.015/

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