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Complete surfaces of at most quadratic area growth (1997)

Li, P.

Springer

Commentarii mathematici Helvetici 72 (1997), S. 67-71

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ISSN: 1420-8946

Keywords: Key words. Riemannian manifold, Gaussian curvature, total curvature, finite topological type.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00000367

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