Abstract
LetM be an immersed complete minimal surface inR n. We show that the total curvature ofM is finite if and only ifM is of quadratic area growth and finite topological type.
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Qing, C. On the total curvature and area growth of minimal surfaces in Rn . Manuscripta Math 92, 135–142 (1997). https://doi.org/10.1007/BF02678185
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DOI: https://doi.org/10.1007/BF02678185