Work

Stability of spinorial Sobolev inequalities on Sn

Year: 2026

Type: article

Abstract: The spinorial Sobolev inequality on the unit sphere states with equality if and only if 𝜓 ∈ ℳ , the set of all − 1 2 -Killing spinors and their conformal transformations. Our main result in this paper is to refine this inequality by establishing a stability inequality As a by-product of our argument, we show that elements in the set ℳ are not optimizers of another spinorial Sobolev inequality unlike expected by experts. They have in fact index 𝑛 + 1 and nullity 2 [ 𝑛 2 ] + 2 .

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2026.111318

Authors: Guofang Wang, Mingwei Zhang

Institutions: University of Freiburg, Wuhan University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

OpenAlex ID: W7221174527

FWCI: 17.4

Cites: 36

Cited by: 10

Related to: 10