Surfaces with harmonic inverse mean curvature and Painlevé equations

DOI10.1023/A:1004976407316zbMath0888.53008OpenAlexW3712986MaRDI QIDQ1376478

Ulrich Eitner, Alexander V. Kitaev, Alexander Ivanovich Bobenko

Publication date: 7 June 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004976407316

zbMATH Keywords

Painlevé equationsHopf differentialharmonic inverse mean curvature surfaces

Mathematics Subject Classification ID

Related Items (13)

Bonnet surfaces with constant curvature ⋮ Reductions of Gauss-Codazzi Equations ⋮ Generalized Bonnet surfaces and Lax pairs of PVI ⋮ Isothermic surfaces associated with the cylinder obtained by Ribaucour transformations ⋮ Timelike Bonnet surfaces in Lorentzian space forms. ⋮ A note on the connection problem of some special Painlevé V functions ⋮ Surfaces de Bonnet et équations de Painlevé ⋮ On Laplace–Darboux-type sequences of generalized Weingarten surfaces ⋮ Darboux transforms of a harmonic inverse mean curvature surface ⋮ Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation ⋮ The Painlevé III, V and VI transcendents as solutions of the Einstein-Weyl equations ⋮ Self-associated three-dimensional cones ⋮ On the connection problem for nonlinear differential equation

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