STEADY STATES FOR ONE-DIMENSIONAL CURVATURE FLOWS

DOI10.1142/S0219199708002739zbMath1191.53049arXivmath/0611254OpenAlexW2030297424MaRDI QIDQ3521631

Yilong Ni, Meijun Zhu

Publication date: 26 August 2008

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611254

zbMATH Keywords

image processingcurvature flowsconformal curvaturesBlaschke-Santalo inequality

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Blowup analysis for a nonlinear equation with negative exponent ⋮ Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications ⋮ Variational analysis of the planar \(L_p\) dual Minkowski problem ⋮ The two dimensional \(L_p\) Minkowski problem and nonlinear equations with negative exponents ⋮ Parabolic equations related to curve motion ⋮ Variations on R. Schwartz's inequality for the Schwarzian derivative ⋮ Reverse conformally invariant Sobolev inequalities on the sphere

Cites Work

• \(Q\)-curvature and Poincaré metrics
• Convergence of the Yamabe flow for arbitrary initial energy
• On some affine isoperimetric inequalities
• Global existence and convergence of Yamabe flow
• On affine plane curve evolution
• A generalized affine isoperimetric inequality
• Three-manifolds with positive Ricci curvature
• ON THE HIGHER ORDER CONFORMAL COVARIANT OPERATORS ON THE SPHERE
• On the Paneitz energy on standard three sphere
• Sharp local embedding inequalities
• Self-similar solutions for the anisotropic affine curve shortening problem

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