Higher genus minimal surfaces by growing handles out of a catenoid.
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Manuscripta mathematica
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Displaying similar documents to “Higher-genus Chen-Gackstatter surfaces and the Weierstrass representation for surfaces of infinite genus.”
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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...
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