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An isoperimetric constant associated to horizons in S(3) blown up at two points
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-9184-1467
2011 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 61, no 10, 1809-1822 p.Article in journal (Refereed) Published
Abstract [en]

Let g be a metric on S(3) with positive Yamabe constant. When blowing up g at two points, a scalar flat manifold with two asymptotically flat ends is produced and this manifold will have compact minimal surfaces. We introduce the Theta-invariant for g which is an isoperimetric constant for the cylindrical domain inside the outermost minimal surface of the blown-up metric. Further we find relations between Theta and the Yamabe constant and the existence of horizons in the blown-up metric on R(3).

Place, publisher, year, edition, pages
2011. Vol. 61, no 10, 1809-1822 p.
Keyword [en]
Asymptotically flat manifolds, Inverse mean curvature flow, Yamabe invariant
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-40638DOI: 10.1016/j.geomphys.2011.04.001ISI: 000294314300004Scopus ID: 2-s2.0-79960363853OAI: oai:DiVA.org:kth-40638DiVA: diva2:443930
Note
QC 20110927Available from: 2011-09-27 Created: 2011-09-20 Last updated: 2017-12-08Bibliographically approved

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Dahl, Mattias

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