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  • Key words. Riemannian manifold, Gaussian curvature, total curvature, finite topological type.  (1)
  • Springer  (1)
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    Electronic Resource
    Electronic Resource
    Complete surfaces of at most quadratic area growth (1997)
    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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