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Herissons et multiherissons (enveloppes parametrées par leur application de Gauss)

100%

Langevin R., Rosenberg H.

Banach Center Publications

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1988

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tom 20

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nr 1

245-253

2

Foliations making a constant angle with principal directions on ellipsoids

81%

Garcia R., Langevin R., Walczak P.

Annales Polonici Mathematici

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2015

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tom 113

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nr 2

165-173

EN

We study the global behavior of foliations of ellipsoids by curves making a constant angle with the lines of curvature.

3

Application of spaces of subspheres to conformal invariants of curves and canal surfaces

81%

Langevin R., O'Hara J., Sakata S.

Annales Polonici Mathematici

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2013

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tom 108

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nr 2

109-131

EN

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 allows for the re-expression of the conformal invariants in terms of standard Euclidean invariants.

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Banach Center Publications

3 Langevin R.

1 Garcia R.

1 O'Hara J.

1 Rosenberg H.

1 Sakata S.

1 Walczak P.

1 2015

1 2013

1 1988

Herissons et multiherissons (enveloppes parametrées par leur application de Gauss)

Foliations making a constant angle with principal directions on ellipsoids

Application of spaces of subspheres to conformal invariants of curves and canal surfaces