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math.DG2013★ 5 cited
Conservation laws for surfaces of constant mean curvature in 3-dimensional space forms
Daniel Fox, Joe S. Wang
The exterior differential system for constant mean curvature (CMC) surfaces in a 3-dimensional space form is an elliptic Monge-Ampere system defined on the unit tangent bundle. We…
math.DG2013
Functions dividing their Hessian determinants and affine spheres
Daniel J. F. Fox
The nonzero level sets of a homogeneous, logarithmically homogeneous, or translationally homogeneous function are affine spheres if and only if the Hessian determinant of the funct…