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- W2950434905 abstract "We present a method to construct a large family of Lagrangian surfaces in complex Euclidean plane by using Legendre curves in the 3-sphere and in the anti de Sitter 3-space or, equivalently, by using spherical and hyperbolic curves, respectively. Among this family, we characterize minimal, constant mean curvature, Hamiltonian-minimal and Willmore surfaces in terms of simple properties of the curvature of the generating curves. As applications, we provide explicitly conformal parametrizations of known and new examples of minimal, constant mean curvature, Hamiltonian-minimal and Willmore surfaces in complex Euclidean plane." @default.
- W2950434905 created "2019-06-27" @default.
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- W2950434905 date "2006-03-15" @default.
- W2950434905 modified "2023-09-27" @default.
- W2950434905 title "Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves" @default.
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- W2950434905 doi "https://doi.org/10.48550/arxiv.math/0603368" @default.
- W2950434905 hasPublicationYear "2006" @default.
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