STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE 被引量：1

STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE

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摘要 In this article, by solving a nonlinear differential equation, we prove the existence of a one parameter family of constant mean curvature hypersurfaces in the hyperbolic space with two ends. Then, we study the stability of these hypersurfaces. In this article, by solving a nonlinear differential equation, we prove the existence of a one parameter family of constant mean curvature hypersurfaces in the hyperbolic space with two ends. Then, we study the stability of these hypersurfaces.

作者 Mohamed JLELI

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期830-838,共9页 数学物理学报（B辑英文版）

基金 supported by the King Saud University D.S.F.P program

关键词 HYPERSURFACE hyperbolic space mean curvature Hypersurface hyperbolic space mean curvature

分类号 O186.11 [理学—基础数学] O186.12 [理学—基础数学]

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1Barbosa J L, Gomes J, Silveira A. Foliation of 3-dimentional space forms by surfaces with constant mean curvature. Bol Soc Bras Math, 1987, 18: 1-12.
2Berard P, Lopes de Lima L, Rossman W. Index growth of hypersurfaces with constant mean curvature. Mathematische Zeitschrift, 2002, 239(1): 99-115.
3Bryant R L. Surfaces of mean curvature one in hyperbolic space. Theorie des varietes minimales et applications, Asterisque, 1987, 154/155: 341-347.
4Do Carmo M. Riemannian Geometry. Bosten: Birkhauser, 1992.
5Jleli M. Moduli space theory of constant mean curvature hypersurfaces. Journal of Advanced Nonlinear Studies. 2009, 9(1): 29-68.
6Jleli M. Symmetry breaking of immersed constant mean curvature hypersurfaces. Advanced Nonlinear Studies, 2009, 9: 129-147.
7Jleli M. Stability results of rotationally constant mean curvature surfaces in hyperbolic space. Colloq Math, 2012, 126: 269-280.
8Jleli M. Bifurcations of constant mean curvature surfaces of revolution in hyperbolic space (To appear).
9Korevaar N, Kusner R, Meeks W, Solomon B. Constant mean curvature surfaces in hyperbolic space. American, J Maths, 1992, 114: 1-43.
10Kusner R, Mazzeo R, Pollack D. The moduli spaces of complete embeeded constant mean curvature surfaces. Geom Funet Anal, 1996, 6: 120-137.

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1苏变萍,舒世昌,Yi Annie Han.HYPERSURFACES WITH CONSTANT MEAN CURVATURE IN A HYPERBOLIC SPACE[J].Acta Mathematica Scientia,2011,31(3):1091-1102. 被引量：1
2XU Hong-wei1 ZHAO En-tao2 Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China.Complete hypersurfaces in a 4-dimensional hyperbolic space[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(3):370-378.
3ZHU Xiaobao.A Singular Trudinger-Moser Inequality in Hyperbolic Space[J].Journal of Partial Differential Equations,2015,28(1):39-46.
4赵培标,宋鸿藻.Quasi- Einstein Hypersurfaces in a Hyperbolic Space[J].Chinese Quarterly Journal of Mathematics,1998,13(2):49-52. 被引量：1
5Zhaobo HUANG.The Infinite Dimensional Hyperbolic Space H~∞ Does Not Have Property A[J].Chinese Annals of Mathematics,Series B,2010,31(4):491-496.
6方锦清.迅速发展的复杂网络研究与面临的挑战[J].自然杂志,2005,27(5):269-273. 被引量：18
7Jiecheng Chen,Shaoyong He,Xiangrong Zhu.Oscillatory Strongly Singular Integral Associated to the Convex Surfaces of Revolution[J].Analysis in Theory and Applications,2016,32(4):396-404.
8宋鸿藻,胡泽军,等.Hypersurfaces with Constant Mean Curvature in Space Forms[J].Chinese Quarterly Journal of Mathematics,1996,11(1):42-48.
9邓勤涛.COMPLETE HYPERSURFACES WITH CONSTANT MEAN CURVATURE AND FINITE INDEX IN HYPERBOLIC SPACES[J].Acta Mathematica Scientia,2011,31(1):353-360. 被引量：1
10XuSenlin,DengQintao,ChenDongmei.THE SPECTRUM OF COMPACT HYPERSURFACE IN SPHERE[J].Analysis in Theory and Applications,2004,20(3):288-293.

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STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE 被引量：1

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