Communications in Analysis and Geometry

Volume 24 (2016)

Number 3

A note on center of mass

Pages: 471 – 486

DOI: http://dx.doi.org/10.4310/CAG.2016.v24.n3.a2

Authors

Pak-Yeung Chan (School of Mathematics, University of Minnesota, Minneapolis, Mn., U.S.A.; and Department of Mathematics, Chinese University of Hong Kong)

Luen-Fai Tam (Institute of Mathematical Sciences and Department of Mathematics, Chinese University of Hong Kong)

Abstract

We will discuss existence of center of mass on asymptotically Schwarzschild manifold as defined by Huisken–Yau and by Regge–Teitelboim, Beig–Ó Murchadha, Corvino–Schoen. Conditions of existence and examples on non-existence are given.

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