Negative Einstein manifolds - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-18T07:51:06Z http://mathoverflow.net/feeds/question/104623 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/104623/negative-einstein-manifolds Negative Einstein manifolds Klaus Kröncke 2012-08-13T16:12:31Z 2012-08-13T19:25:47Z <p>In Besse's "EInstein manifolds", p. 354, the question is posed if the volume of Einstein metrics on a given compact manifold (normalized such that $Ric=\pm(n-1)g$) take only finitely many values.</p> <p>For negative values, they say that no example of more than one volume on a fixed manifold is known. Are there still no such examples?</p> <p>I'd like to know if there is any recent progress which is related to this question.</p>