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Some functionals on compact manifolds with boundary

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Abstract

We analyze critical points of two functionals of Riemannian metrics on compact manifolds with boundary. These functionals are motivated by formulae of the mass functionals of asymptotically flat and asymptotically hyperbolic manifolds.

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Authors and Affiliations

  1. Department of Mathematics, University of Miami, Coral Gables, FL, 33146, USA

    Pengzi Miao

  2. The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China

    Luen-Fai Tam

Authors
  1. Pengzi Miao
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  2. Luen-Fai Tam
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Correspondence to Luen-Fai Tam.

Additional information

Pengzi Miao: Research partially supported by Simons Foundation Collaboration Grant for Mathematicians #281105. L.-F. Tam: Research partially supported by Hong Kong RGC General Research Fund #CUHK 14305114.

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Miao, P., Tam, LF. Some functionals on compact manifolds with boundary. Math. Z. 286, 1525–1537 (2017). https://doi.org/10.1007/s00209-016-1812-9

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  • DOI: https://doi.org/10.1007/s00209-016-1812-9

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