Metrics of positive scalar curvature and unbounded min-max widths

Rafael Montezuma

doi:10.1007/s00526-016-1078-4

Metrics of positive scalar curvature and unbounded min-max widths

Rafael Montezuma

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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).

Original language	English (US)
Article number	139
Journal	Calculus of Variations and Partial Differential Equations
Volume	55
Issue number	6
DOIs	https://doi.org/10.1007/s00526-016-1078-4
State	Published - Dec 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

05C15
53C20
58E35

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10.1007/s00526-016-1078-4

Cite this

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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).",

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AB - 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).

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ER -

Metrics of positive scalar curvature and unbounded min-max widths

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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