GENERALIZED TORUS IN $\[{R^3}\]$ WITH PRESCRIBED MEAN CURVATURE
Citation:
Huang xuanguo.GENERALIZED TORUS IN $\[{R^3}\]$ WITH PRESCRIBED MEAN CURVATURE[J].Chinese Annals of Mathematics B,1988,9(1):123~133
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Authors:
Huang xuanguo;
Abstract:
Let $H$ be a given function satisfying two conditions on some region $N$ in $\[{R^3}\]$. It is proved that there exists a closed surface in $N$ which is homeomorphic to a torus such that its mean curvature is equal to $H$.