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On the manifold of closed hypersurfaces in $\mathbb{R}^n$

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  • Several results from differential geometry of hypersurfaces in $\mathbb{R}^n$ are derived to form a tool box for the direct mapping method. The latter technique has been widely employed to solve problems with moving interfaces, and to study the asymptotics of the induced semiflows.
    Mathematics Subject Classification: Primary: 35R37; Secondary: 53C44.


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