Extremals of curvature energy actions on spherical closed curves

被引：20

作者：

Arroyo, J ^{[1
]}

Garay, OJ ^{[1
]}

Mencía, JJ ^{[1
]}

机构：

[1] Univ Basque Country, Fac Ciencias, Dept Matemat, Euska Herriko Unibertsitatea, E-48080 Bilbao, Spain

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2004年 / 51卷 / 01期

关键词：

Euler-Lagrange equations; generalized elastic curves; energy functionals;

D O I：

10.1016/j.geomphys.2003.10.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We compute the first integrals of the Euler-Lagrange equations associated to actions of curvature energy functionals on suitable spaces of curves in real space forms. Then we obtain closure conditions for critical points fully immersed in the three-sphere and apply the results to specific functionals of geometric interest. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：101 / 125

页数：25

共 26 条

[1]

[Anonymous], 1983, Exterior Differential Systems and the Calculus of Variations

[2]

[Anonymous], THESIS U PAIS VASCO

[3] Closed generalized elastic curves in S2(1) [J].

Arroyo, J ;

Garay, OJ ;

Mencía, JJ .

JOURNAL OF GEOMETRY AND PHYSICS, 2003, 48 (2-3) :339-353

[4] Willmore-Chen tubes on homogeneous spaces in warped product spaces [J].

Arroyo, J ;

Barros, M ;

Garay, OJ .

PACIFIC JOURNAL OF MATHEMATICS, 1999, 188 (02) :201-207

[5] Some examples of critical points for the total mean curvature functional [J].

Arroyo, J ;

Barros, M ;

Garay, OJ .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2000, 43 :587-603

[6] Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces [J].

Barros, M ;

Ferrandez, A ;

Lucas, P ;

Merono, MA .

JOURNAL OF GEOMETRY AND PHYSICS, 1998, 28 (1-2) :45-66

[7]

Barros M, 1998, MATH Z, V228, P121, DOI 10.1007/PL00004404

[8] Conformal tension in string theories and M-theory [J].

Barros, M ;

Ferrández, A ;

Lucas, P .

NUCLEAR PHYSICS B, 2000, 584 (03) :719-748

[9]

BIRD PE, HDB ELLIPTIC INTEGRA

[10]

Blaschke W., 1930, VORLESUNGEN DIFFEREN

← 1 2 3 →