Prescribed curvature flow on surfaces

DOI10.1512/iumj.2011.60.4413zbMath1334.53066OpenAlexW2069942218MaRDI QIDQ4899224

Pak Tung Ho

Publication date: 7 January 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2011/4413

zbMATH Keywords

Gaussian curvaturecurvature flowprescribed curvature

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (11)

Evolution of curvatures on a surface with boundary to prescribed functions ⋮ Prescribed Gauss curvature flow on surfaces with negative Euler characteristic ⋮ Evolution of the Steklov eigenvalue under geodesic curvature flow ⋮ A variant prescribed curvature flow on closed surfaces with negative Euler characteristic ⋮ Yamabe solitons with boundary ⋮ The Webster scalar curvature flow on CR sphere. I ⋮ RESULTS RELATED TO PRESCRIBING PSEUDO-HERMITIAN SCALAR CURVATURE ⋮ A gradient flow for the prescribed Gaussian curvature problem on a closed Riemann surface with conical singularity ⋮ Conformal curvature flows on compact manifold of negative Yamabe constant ⋮ Prescribed mean curvature equation on the unit ball in the presence of reflection or rotation symmetry ⋮ Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds

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