A Note on Constant Geodesic Curvature Curves on Surfaces
Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 5, pp. 1569-1584.
@article{AIHPC_2009__26_5_1569_0,
     author = {Sun, Taoniu},
     title = {A {Note} on {Constant} {Geodesic} {Curvature} {Curves} on {Surfaces}},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1569--1584},
     publisher = {Elsevier},
     volume = {26},
     number = {5},
     year = {2009},
     doi = {10.1016/j.anihpc.2008.06.005},
     mrnumber = {2566700},
     zbl = {1175.53068},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2008.06.005/}
}
TY  - JOUR
AU  - Sun, Taoniu
TI  - A Note on Constant Geodesic Curvature Curves on Surfaces
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2009
SP  - 1569
EP  - 1584
VL  - 26
IS  - 5
PB  - Elsevier
UR  - http://www.numdam.org/articles/10.1016/j.anihpc.2008.06.005/
DO  - 10.1016/j.anihpc.2008.06.005
LA  - en
ID  - AIHPC_2009__26_5_1569_0
ER  - 
%0 Journal Article
%A Sun, Taoniu
%T A Note on Constant Geodesic Curvature Curves on Surfaces
%J Annales de l'I.H.P. Analyse non linéaire
%D 2009
%P 1569-1584
%V 26
%N 5
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.anihpc.2008.06.005/
%R 10.1016/j.anihpc.2008.06.005
%G en
%F AIHPC_2009__26_5_1569_0
Sun, Taoniu. A Note on Constant Geodesic Curvature Curves on Surfaces. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) no. 5, pp. 1569-1584. doi : 10.1016/j.anihpc.2008.06.005. http://www.numdam.org/articles/10.1016/j.anihpc.2008.06.005/

[1] Do Carmo M., Differential Geometry of Curves and Surfaces, Prentice-Hall, 1976. | MR | Zbl

[2] Druet O., Sharp Local Isoperimetric Inequalities Involving the Scalar Curvature, Proc. Amer. Math. Soc. 130 (8) (2002) 2351-2361. | MR | Zbl

[3] F. Pacard, X. Xu, Constant mean curvature spheres in Riemannian manifolds, preprint, 2007. | MR | Zbl

[4] Peng C. K., Chen Q., Differential Geometry, Higher Education Press, 2002.

[5] Ritoré M., Ros A., The Space of Index One Minimal Surfaces and Stable Constant Mean Curvature Surfaces Embedded in Flat Three Manifolds, Trans. Amer. Math. Soc. 348 (1) (January 1996). | MR | Zbl

[6] Rosenberg H., Constant Mean Curvature Surfaces in Homogeneously Regular 3-Manifolds, Bull. Austral. Math. Soc. 74 (2) (2006) 227-238. | MR | Zbl

[7] Schoen R., Yau S. T., Lectures on Differential Geometry, International Press, 1994. | MR | Zbl

[8] Willmore T. J., Riemannian Geometry, Oxford Univ. Press, NY, 1993. | MR | Zbl

[9] Ye R., Foliation by Constant Mean Curvature Spheres, Pacific J. Math. 147 (2) (1991) 381-396. | MR | Zbl

Cité par Sources :