6533b854fe1ef96bd12af3a4

RESEARCH PRODUCT

Canal foliations of S 3

Rémi LangevinPaweł Walczak

subject

foliationGeneral Mathematics53A30Foliation (geology)Conformal mapGeometryMathematics::Differential GeometrySurface of revolution53C12MathematicsComputingMethodologies_COMPUTERGRAPHICScanal surface

description

The goal of the article is to classify foliations of S3 by regular canal surfaces, that is envelopes of one-parameter families of spheres which are immersed surfaces. We will add some extra information when the leaves are “surfaces of revolution” in a conformal sense.

10.2969/jmsj/06420659http://projecteuclid.org/euclid.jmsj/1335444406