Uniqueness of the Mean Field Equation and Rigidity of Hawking Mass

2017/06/21 by Yuguang Shi, Jiacheng Sun, Shi, Yuguang +5 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Cosmology and Gravitation Theories #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1706.06766

Abstract

In this paper, we prove that the even solution of the mean field equation Δu=λ(1-e^u) on S² must be axially symmetric when 4

Cited by

• The First Eigenvalue of Embedded Minimal Hypersurfaces in the Unit Sphere I: Yau's Conjecture
• Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces

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