Some Nonlinear Problems in Riemannian Geometry

1998/01/01 by Thierry Aubin · 22 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Fundamental theorem of Riemannian geometry #Geometric Analysis and Curvature Flows #Geometry #Mathematics #Nonlinear system #Physics #Ricci curvature #Riemannian geometry #Thermoelastic and Magnetoelastic Phenomena

paper · doi:10.1007/978-3-662-13006-3

crossref issued 1998/01/01 · crossref published 1998/01/01 · crossref published-print 1998/01/01 · openalex publication_date 1998/01/01 · crossref created 2013/02/21 · crossref deposited 2019/04/04 · openalex created_date 2025/10/10 · crossref indexed 2026/07/18 · openalex updated_date 2026/07/19

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• Yang-Mills measure on compact surfaces
• Isometry theorem of gradient Shrinking Ricci solitons
• Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature
• Time dependent random fields on spherical non-homogeneous surfaces
• Entropy Functionals, Sobolev Inequalities and kappa-Noncollapsing Estimates along the Ricci Flow
• On Sobolev spaces and density theorems on Finsler manifolds
• Navier–Stokes Equations in a Curved Thin Domain, Part II: Global Existence of a Strong Solution
• Metrics of constant scalar curvature on sphere bundles
• Energy quantization of Willmore surfaces at the boundary of the moduli space
• A uniform particle approximation to the Navier-Stokes-alpha models in three dimensions with advection noise
• Harmonic map [wikipedia]
• Monge–Ampère equation [wikipedia]
• Scalar curvature [wikipedia]
• Shing-Tung Yau [wikipedia]
• Thierry Aubin [wikipedia]
• Weyl–Schouten theorem [wikipedia]