On the symmetry of annular Bryant surface with constant contact angle
Main Article Content
Abstract
Article Details
Supporting Agencies
References
[1] A. D. Alexandrov, Uniqueness theorems for surfaces in the large V, Amer. Math. Soc. Transl. 21 (1962), 412–416. Google Scholar
[2] R. Bryant, Surfaces with constant mean curvature one in hyperbolic space, Ast erisque 154-155: 321-347. Google Scholar
[3] Y. Fang, Lectures on minimal surfaces in R3, Center for Mathematics and Its applications, Australian National University, (1996). Google Scholar
[4] H. Hopf, Differential Geometry in the large, Springer, Berlin, (1989). Google Scholar
[5] H. B. Lawson, Complete Minimal Surfaces in S3, Ann. of Math. 2nd Ser. 92 (3) (1970), 335–374. Google Scholar
[6] L. Lima and P. Roitman, Constant mean curvature one surfaces in hyperbolic space using Bianchi-Cal`o method, Annals of the Braz. Acad. of Sci. 74 (2002) (1), 19–24; arXiv:math/0110021. Google Scholar
[7] J. McCuan, Symmetry via spherical reflection and spanning drops in a wedge, Pacific J. Math. 180 (1997) (2), 291–323. Google Scholar
[8] J. C. C. Nitsche, Stationary partitioning of convex bodies, Arch. Rat. Mech. Anal. 89 (1985), 1–19. Google Scholar
[9] J. Pyo, Minimal annuli with constant contact angle along the planar boundaries, Geom. Dedicata 146 (1) (2010), 159–164. Google Scholar
[10] W. Rossman and K. Sato, Constant mean curvature surfaces with two ends in hyperbolic space, Experiment. Math. Volume 7, Issue 2 (1998), 101–119. Google Scholar
[11] J. Serrin, A symmetry problem in potential theory, Arch. Rat. Mech. and Anal. 43 (1971), 304–318. Google Scholar
[12] H. Wente, Tubular capillary surfaces in a convex body. Advances in geometric analysis and continuum mechanics (Stanford, CA, 1993), 288–298, International Press, Cambridge, MA, (1995). Google Scholar