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Nonexistence of nonpositively curved surfaces¶with one embedded end

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Abstract:

We prove certain complete nonpositively curved surfaces arising from general relativity isometrically immersible in R 3 do not exist, assuming square integrable second fundamental form. We provide an example showing the sharpness of our conditions.

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Authors and Affiliations

  1. National Ping-Tung Teachers College and NCTS, Tsing Hua University, Taiwan. e-mail: hchan@mail.npttc.edu.tw, , , , , , TW

    Hsungrow Chan

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  1. Hsungrow Chan
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Received: 19 February 1999 / Revised version: 2 December 1999

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Chan, H. Nonexistence of nonpositively curved surfaces¶with one embedded end. manuscripta math. 102, 177–186 (2000). https://doi.org/10.1007/s002291020177

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  • DOI: https://doi.org/10.1007/s002291020177

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