Singular limit laminations, Morse index, and positive scalar curvature
Tobias H. Colding and Camillo De Lellis
Contact the author: Please use for correspondence this email.
Submission date: 07. Aug. 2002 (revised version: August 2002)
published in: Topology, 44 (2005) 1, p. 25-45
DOI number (of the published article): 10.1016/j.top.2004.01.007
MSC-Numbers: 53A10, 53C21, 57N10
Keywords and phrases: minimal surfaces, morse index, positive scalar curvature, laminations
Download full preprint: PDF (716 kB), PS ziped (281 kB)
For any 3-manifold and any nonnegative integer , we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus and without Morse index bounds. On any spherical space form we construct such a metric with positive scalar curvature. More generally we construct such a metric with (and such surfaces) on any 3-manifold which carries a metric with .