Displaying similar documents to “Application of spaces of subspheres to conformal invariants of curves and canal surfaces”

Uniqueness of the stereographic embedding

Michael Eastwood (2014)

Archivum Mathematicum


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.

Spectral theory of invariant operators, sharp inequalities, and representation theory

Branson, Thomas


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.