| Conformally Flat Minimal Hypersurfaces in a Hyperbolic Space |
| Received:December 30, 1994 |
| Key Words:
minimal submanifolds conformal flatness hyperbolic space.
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| Fund Project:Supported by NNSF. |
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| Abstract: |
| In this paper it is proved that all the conformally flat minimal hypersurfaces in a hyperbolic space are either rotational hypersurfaces or glued by some such pieces via totally geodesic ones. Combining this result with a previous theorem of Wang Xinmin and Xu Zhicai, We generalize a theorem of Blair about a generalization of catenoid. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1997.03.005 |
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