A cellular parametrization for closed surfaces with a distinguished point.
Näätänen, Marjatta (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Displaying similar documents to “Branch Points of Conformal Mappings of Surfaces.”
A cellular parametrization for closed surfaces with a distinguished point.
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Application of spaces of subspheres to conformal invariants of curves and canal surfaces
Rémi Langevin, Jun O'Hara, Shigehiro Sakata (2013)
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We review some techniques from the Möbius geometry of curves and surfaces in the 3-sphere, consider canal surfaces using their characteristic circles, and express the conformal curvature, and conformal torsion, of a vertex-free space curve in terms of its corresponding curve of osculating circles, and osculating spheres, respectively. We accomplish all of this strictly within the framework of Möbius geometry, and compare our results with the literature. Finally, we show how our formulation...
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