@article{4f531e5510194f5db7b4ae917516b7b3,
title = "Metrics of positive scalar curvature and unbounded min-max widths",
abstract = "In this work, we construct a sequence of Riemannian metrics on the three-sphere with scalar curvature greater than or equal to 6 and arbitrarily large widths. The search for metrics with such properties is motivated by the rigidity result of min-max minimal spheres in three-manifolds obtained by Marques and Neves (Duke Math J 161(14):2725–2752, 2012).",
keywords = "05C15, 53C20, 58E35",
author = "Rafael Montezuma",
note = "Funding Information: The results contained in this paper are based partially on the author's Ph.D. thesis under the guidance of Professor Fernando Cod{\~A}¡ Marques. This work was done while I was visiting him at Princeton University. It is a pleasure to show my gratefulness for his support. The author was partly supported by FAPERJ and NSF DMS-1104592. Funding Information: The results contained in this paper are based partially on the author's Ph.D. thesis under the guidance of Professor Fernando Cod?? Marques. This work was done while I was visiting him at Princeton University. It is a pleasure to show my gratefulness for his support. The author was partly supported by FAPERJ and NSF DMS-1104592.",
year = "2016",
month = dec,
day = "1",
doi = "10.1007/s00526-016-1078-4",
language = "English (US)",
volume = "55",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer New York",
number = "6",
}