English

Criteria for codimension two singularities of surfaces and their applications

Differential Geometry 2025-05-14 v2

Abstract

We give simple criteria for the singularities appearing on surfaces codimension less than or equal to two. As applications, we give conditions for codimension two singularities that appear in ruled surfaces and center maps of surfaces in the Euclidean space.

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Cite

@article{arxiv.2505.07716,
  title  = {Criteria for codimension two singularities of surfaces and their applications},
  author = {Kentaro Saji and Runa Shimada},
  journal= {arXiv preprint arXiv:2505.07716},
  year   = {2025}
}

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28 pages