### Conformal invariants in two dimensions. [I.]

Harry Levy (1940)

Časopis pro pěstování matematiky a fysiky

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Harry Levy (1940)

Časopis pro pěstování matematiky a fysiky

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Rémi Langevin, Jun O&#039;Hara, Shigehiro Sakata (2013)

Annales Polonici Mathematici

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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...

Michael Eastwood (2014)

Archivum Mathematicum

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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.

E. Schnirman, C. G. Oliveira (1972)

Annales de l'I.H.P. Physique théorique

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Branson, Thomas

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The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.

Hiroshi Haruki (1975)

Annales Polonici Mathematici

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