An isoperimetric constant associated to horizons in S(3) blown up at two points
2011 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 61, no 10, 1809-1822 p.Article in journal (Refereed) Published
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.
Asymptotically flat manifolds, Inverse mean curvature flow, Yamabe invariant
IdentifiersURN: urn:nbn:se:kth:diva-40638DOI: 10.1016/j.geomphys.2011.04.001ISI: 000294314300004ScopusID: 2-s2.0-79960363853OAI: oai:DiVA.org:kth-40638DiVA: diva2:443930
QC 201109272011-09-272011-09-202011-11-14Bibliographically approved