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On the symmetry of annular Bryant surface with constant contact angle

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We show that a compact immersed annular Bryant surface in mathbb H3 meeting two parallel horospheres in constant contact angles is rotational.

Abstract

We show that a compact immersed annular Bryant surface in mathbb H3 meeting two parallel horospheres in constant contact angles is rotational.

참고문헌 (12)

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  3. Y. Fang, "Lectures on minimal surfaces in R3R3" (1996), Center for Mathematics and Its applications, Australian National University
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  6. L. Lima, "Constant mean curvature one surfaces in hyperbolic space using Bianchi-Calo method", Annals of the Braz. Acad. of Sci, 74(1), pp.19~24 (2002)
  7. J. McCuan, "Symmetry via spherical reflection and spanning drops in a wedge", Pacific J. Math, 180(2), pp.291~323 (1997)
  8. J. C. C. Nitsche, "Stationary partitioning of convex bodies", Arch. Rat. Mech. Anal, 89, pp.1~19 (1985)
  9. J. Pyo, "Minimal annuli with constant contact angle along the planar boundaries", Geom. Dedicata, 146(1), pp.159~164 (2010)
  10. W. Rossman, "Constant mean curvature surfaces with two ends in hyperbolic space", Experiment. Math, 7(2), pp.101~119 (1998)
  11. J. Serrin, "A symmetry problem in potential theory", Arch. Rat. Mech. and Anal, 43, pp.304~318 (1971)
  12. H. Wente, "Tubular capillary surfaces in a convex body. Advances in geometric analysis and continuum mechanics", pp.288~298 (1993), International Press

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