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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
73/1998

Angular Momentum and Positive Mass Theorem

Xiao Zhang

Abstract

Total angular momentum for asymptotically flat manifolds is defined. Positive mass theorem for initial (spin) data set (M, gij, pij) with nonsymmetric pij is proved. As an application, we establish positive mass theorems involving total linear momentum and total angular momentum. This gives an answer to a problem of S.T. Yau in his Problem Section (Seminar on Differential Geometry, Annals of Math. Stud. 102, Princeton Univ. Press, Princeton, 1982) and a partial answer to his recent conjecture on the relationship among total energy, total linear momentum, total angular momentum and entropy of black hole.

Received:
23.01.99
Published:
23.01.99

Related publications

inJournal
1999 Repository Open Access
Xiao Zhang

Angular momentum and positive mass theorem

In: Communications in mathematical physics, 206 (1999) 1, pp. 137-155