Liouville type results of curvature operators of Fuchsian convex surfaces

DOI10.1016/j.jmaa.2015.09.052zbMath1330.52001OpenAlexW1819615057MaRDI QIDQ891410

Lu Xu, Qianzhong Ou

Publication date: 17 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.052

zbMATH Keywords

curvature operatorFuchsian convex surfaceLiouville type result

Mathematics Subject Classification ID

Integral geometry (53C65) Convex sets in (2) dimensions (including convex curves) (52A10) Minkowski geometries in nonlinear incidence geometry (51B20)

Cites Work

• Fuchsian convex bodies: basics of Brunn-Minkowski theory
• Some Liouville type results of Hessian equations
• The Brunn-Minkowski-Firey theory. I: Mixed volumes and the Minkowski problem
• Nonexistence results for Hessian inequality
• Classification of singularities for a subcritical fully nonlinear problem
• Semi-linear Liouville theorems in the Heisenberg group via vector field methods
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• On the Hessian of a function and the curvature of its graph

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