Abstract.
In this article, we study complete surfaces with finite topological type and has at most quadratic area growth. In particular, we show that if the curvature of such a surface does not change sign, then it must be of finite total curvature.
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Received: October 16, 1995
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Li, P. Complete surfaces of at most quadratic area growth. Comment. Math. Helv. 72, 67–71 (1997). https://doi.org/10.1007/PL00000367
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DOI: https://doi.org/10.1007/PL00000367