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

3 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

Access to Document

10.1007/s00526-016-1078-4

Cite this

@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 = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

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",

}

TY - JOUR

T1 - Metrics of positive scalar curvature and unbounded min-max widths

AU - Montezuma, Rafael

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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).

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).

KW - 05C15

KW - 53C20

KW - 58E35

UR - https://www.scopus.com/pages/publications/84993940168

UR - https://www.scopus.com/pages/publications/84993940168#tab=citedBy

U2 - 10.1007/s00526-016-1078-4

DO - 10.1007/s00526-016-1078-4

M3 - Article

AN - SCOPUS:84993940168

SN - 0944-2669

VL - 55

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 6

M1 - 139

ER -

Metrics of positive scalar curvature and unbounded min-max widths

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this