Level sets of functions and symmetry sets of surface sections
(2005)
Presentation / Conference Contribution
Diatta, A., Giblin, P., Guilfoyle, B., & Klingenberg, W. (2005, October). Level sets of functions and symmetry sets of surface sections. Presented at Mathematics of Surfaces XI: 11th IMA international conference, Loughborough
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 surfaces close to the singular section by the tangent plane at an ellipti... Read More about Level sets of functions and symmetry sets of surface sections.