Displaying similar documents to “A new proof of a theorem of Belov.”

Constructing isothermal curvature line coordinates on surfaces which admit them

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.

Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space

Bang-Yen Chen (2010)

Open Mathematics

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A Lorentz surface of an indefinite space form is called a parallel surface if its second fundamental form is parallel with respect to the Van der Waerden-Bortolotti connection. Such surfaces are locally invariant under the reflection with respect to the normal space at each point. Parallel surfaces are important in geometry as well as in general relativity since extrinsic invariants of such surfaces do not change from point to point. Recently, parallel Lorentz surfaces in 4D neutral...