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The Total Mean Curvature of a Complete Noncompact Surface of Nonnegative Curvature in R3

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Abstract

We give a complete classification of complete noncompact oriented surfaces with nonnegative Gaussian curvature and finite total mean curvature in R3.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong; e-mail

    Leung-Fu Cheung

  2. Department of Mathematics, National University of Singapore, Singapore, 119260; e-mail

    Pui-Fai Leung

Authors
  1. Leung-Fu Cheung
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  2. Pui-Fai Leung
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Cheung, LF., Leung, PF. The Total Mean Curvature of a Complete Noncompact Surface of Nonnegative Curvature in R3 . Geometriae Dedicata 72, 15–17 (1998). https://doi.org/10.1023/A:1005063616953

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  • DOI: https://doi.org/10.1023/A:1005063616953

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