Minimal Hypersurface of Revolution in Hyperbolic Space Hn
Received:October 24, 1989  
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Author NameAffiliation
Wang Xinmin 陕西师大数学系 
Xu Zhicai 淮南矿业学院基础部 
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Abstract:
      Let M be a rotational minimal hypersurface in the hyperbolic space Hn. In this paper, we give differential equation of the generating curve γ in the fundamental domain H+2, and obtain the following clossification theorem.Theorem The rotational minimal hypersurfaces in the hyperbolic space Hn muse be hyperplane or generalized catenoids. Moreover, each generalized cat-enoid is bounded between two parallel hyperplanes and is asymptotic them.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.03.015
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