Commentarii Mathematici Helvetici


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Volume 72, Issue 1, 1997, pp. 67–71
DOI: 10.1007/PL00000367

Published online: 1997-03-31

Complete surfaces of at most quadratic area growth

P. Li[1]

(1) University of California, Irvine, USA

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.

Keywords: Riemannian manifold, Gaussian curvature, total curvature, finite topological type

Li P.: Complete surfaces of at most quadratic area growth. Comment. Math. Helv. 72 (1997), 67-71. doi: 10.1007/PL00000367