ROTATIONAL HYPERSURFACES WITH CONSTANT 2-MEAN CURVATURE IN Rn+1

MISKOLC MATHEMATICAL NOTES(2022)

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Abstract
We study rotational hypersurfaces with constant 2-mean curvature in Rn+1. We derive the ODE for the generating curves of such hypersurfaces, and find an integral expression for the inverse function of the solution. 2010 Mathematics Subject Classification: 53A07; 34A05
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Key words
higher order mean curvature,rotational hypersurface,non-linear differential equa-tions
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