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Creators/Authors contains: "Jang, Hyun Chul"

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  1. ; (, Transactions of the American Mathematical Society)
    We study scalar curvature deformation for asymptotically locally hyperbolic (ALH) manifolds with nonempty compact boundary. We show that the scalar curvature map is locally surjective among either (1) the space of metrics that coincide exponentially toward the boundary, or (2) the space of metrics with arbitrarily prescribed nearby Bartnik boundary data. Using those results, we characterize the ALH manifolds that minimize the Wang-ChruĊ›ciel-Herzlich mass integrals in great generality and establish the rigidity of the positive mass theorems. 
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  2. ; (, Proceedings of the American Mathematical Society)
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