On the multiplicity of umbilic points

نویسندگان

چکیده

We introduce an invariant of umbilic points on surfaces in the Euclidean or Minkowski 3-space that counts maximum number stable they can split up under deformations surfaces. call multiplicity point and establish its properties.

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2022

ISSN: ['1945-5844', '0030-8730']

DOI: https://doi.org/10.2140/pjm.2022.319.99