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A constant rank
theorem for level sets of immersed hypersurfaces in
ℝn+1 with
prescribed mean curvature
Changqing Hu, Xi-Nan Ma and Qianzhong Ou |
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Vol. 245 (2010), No. 2, 255–271
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Abstract |
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We prove a constant rank theorem on the second fundamental forms of level sets of immersed hypersurfaces in ℝn+1 with prescribed mean curvature. |
Keywords
constant rank theorem, level sets, mean curvature
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Mathematical Subject Classification 2000
Primary: 35J15
Secondary: 53A10
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Milestones
Received: 17 August 2008
Revised: 14 April 2009
Accepted: 24 May 2009
Published: 1 April 2010
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Authors |
| Changqing Hu | |
| Department of Mathematics Suzhou University Suzhou 215006 China |
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| Xi-Nan Ma | |
| Department of Mathematics University of Science and Technology of China Hefei 230026 China |
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| Qianzhong Ou | |
| Department of Mathematics Hezhou University Hezhou 542800 China |
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