Large-sphere and small-sphere limits of the Brown-York mass

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dc.creatorFan, Xu-Qian
dc.creatorShi, Yuguang
dc.creatorTam, Luen-Fai
dc.date2007-11-16
dc.date.accessioned2026-07-07T08:43:20Z
dc.date.available2026-07-07T08:43:20Z
dc.descriptionIn this paper, we will study the limiting behavior of the Brown-York mass of the coordinate spheres in an asymptotically flat manifold. Limiting behaviors of volumes of regions related to coordinate spheres are also obtained, including a discussion on the isoperimetric mass introduced by Huisken \cite{Huisken}. We will also study expansions of the Brown-York mass and the Hawking mass of geodesic spheres with center at a fixed point $p$ of a three manifold. Some geometric consequences will be derived.
dc.description32pages, no figure
dc.identifierhttps://arxiv.org/abs/0711.2552
dc.identifierhttp://arxiv.org/abs/0711.2552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142281
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectPrimary 53C20; Secondary 83C99
dc.titleLarge-sphere and small-sphere limits of the Brown-York mass
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