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math.DG2005★ 4 cited
Level sets of functions and symmetry sets of smooth surface sections
Andre Diatta, Peter Giblin, Brendan Guilfoyle +1
We prove that the level sets of a real C^s function of two variables near a non-degenerate critical point are of class C^[s/2] and apply this to the study of planar sections of sur…
math.DG2000
Einstein Metrics Adapted to Contact Structures on 3-Manifolds
Brendan S. Guilfoyle
The Newman-Penrose-Perjes formalism is applied to smooth contact structures on riemannian 3-manifolds. In particular it is shown that a contact 3-manifold admits an adapted riemann…