TitleSingular limit laminations, Morse index, and positive scalar curvature.
Publication TypeJournal Article
Year of Publication2005
AuthorsColding T.H, De Lellis C.
JournalTopology
Volume44
Pagination25–45
PublisherElsevier
Type of Articleminimal
ISSN0040-9383
KeywordsLaminations, Minimal surfaces, Morse index, Positive scalar curvature
Abstract

For any 3-manifold M3 and any nonnegative integer g, we give here examples of metrics on M each of which has a sequence of embedded minimal surfaces of genus g 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 Scal\ensuremath>0 (and such surfaces) on any 3-manifold which carries a metric with Scal\ensuremath>0.

Notes

Topology 44 (2005), no. 1, 25–45.

URLhttps://www.sciencedirect.com/science/article/pii/S0040938304000035
DOI10.1016/j.top.2004.01.007
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