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A quasi-local mass for 2-spheres with negative Gauss curvature

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Abstract

We extend our previous definition of quasi-local mass to 2-spheres whose Gauss curvature is negative, and prove its positivity.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China

    Xiao Zhang

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  1. Xiao Zhang
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Additional information

This work was partially supported by the National Natural Science Foundation of China (Grant No. 10421001), the National Key Basic Research Project of China (Grant No. 2006CB805905) and the Innovation Project of Chinese Academy of Sciences

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Zhang, X. A quasi-local mass for 2-spheres with negative Gauss curvature. Sci. China Ser. A-Math. 51, 1644–1650 (2008). https://doi.org/10.1007/s11425-008-0045-8

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  • DOI: https://doi.org/10.1007/s11425-008-0045-8

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