On the multiplicity of umbilic points
arXiv:2106.10998 · doi:10.2140/pjm.2022.319.99
Abstract
We introduce an invariant of umbilic points on surfaces in the Euclidean or Minkowski 3-space that counts the maximum number of stable umbilic points they can split up under deformations of the surfaces. We call that number the multiplicity of the umbilic point and establish its properties.