Expositio paper exp-20260819-321582
On Minimal Surfaces
This paper introduces Minimal Surfaces through the Weingarten Map and the 1st and 2nd Fundamental forms. Then, we consider two examples of a minimal surface, the catenoid and helicoid, verifying that both are indeed minimal surfaces through calculation. Final…
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Abstract
This paper introduces Minimal Surfaces through the Weingarten Map and the 1st and 2nd Fundamental forms. Then, we consider two examples of a minimal surface, the catenoid and helicoid, verifying that both are indeed minimal surfaces through calculation. Finally, we end with two theorems on minimal surfaces of revolution and ruled minimal surfaces and how they relate to the previous minimal surfaces in the examples.
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