Small Two Spheres in Positive Scalar Curvature, Using Minimal Hypersurfaces - Université Paris-Est-Créteil-Val-de-Marne Access content directly
Book Sections Year : 2023

Small Two Spheres in Positive Scalar Curvature, Using Minimal Hypersurfaces

Jintian Zhu
  • Function : Author

Abstract

In this survey, we review some results on the area of topologically non-trivial two spheres in manifolds with positive scalar curvature of dimension at most 7. The main tool to get those results is the use of stable minimal hypersurfaces, and we give a short exposition of the usual ways to take advantage of these in the presence of positive scalar: second variation, conformal method, Fischer-Colbrie–Schoen symmetrization, and µ-bubbles. The last section lists some open problems in the area.
Fichier principal
Vignette du fichier
small-S2.pdf (380.77 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04255909 , version 1 (24-10-2023)

Identifiers

Cite

Thomas Richard, Jintian Zhu. Small Two Spheres in Positive Scalar Curvature, Using Minimal Hypersurfaces. Perspectives in Scalar Curvature, 02, WORLD SCIENTIFIC, pp.381-415, 2023, 978-981-124-999-0. ⟨10.1142/9789811273230_0011⟩. ⟨hal-04255909⟩
7 View
11 Download

Altmetric

Share

Gmail Facebook X LinkedIn More