On the rigidity of certain surfaces in
Alois Švec (1977)
Czechoslovak Mathematical Journal
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Alois Švec (1977)
Czechoslovak Mathematical Journal
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Eugenio Aulisa, Magdalena Toda, Zeynep Kose (2013)
Open Mathematics
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Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
Alois Švec (1976)
Czechoslovak Mathematical Journal
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Karel Svoboda (1979)
Czechoslovak Mathematical Journal
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Constantin Călin, Mircea Crasmareanu (2014)
Czechoslovak Mathematical Journal
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We study Legendre and slant curves for Bianchi-Cartan-Vranceanu metrics. These curves are characterized through the scalar product between the normal at the curve and the vertical vector field and in the helix case they have a proper (non-harmonic) mean curvature vector field. The general expression of the curvature and torsion of these curves and the associated Lancret invariant (for the slant case) are computed as well as the corresponding variant for some particular cases. The slant...