• Corpus ID: 237267300

A Note on Umbilic Points at Infinity

@inproceedings{Guilfoyle2021ANO,
  title={A Note on Umbilic Points at Infinity},
  author={Brendan Guilfoyle and Adriana Ortiz-Rodr{\'i}guez},
  year={2021}
}
In this note a definition of umbilic point at infinity is proposed, at least for surfaces that are homogeneous polynomial graphs over a plane in Euclidean 3-space. This is a stronger definition than that of Toponogov in his study of complete convex surfaces, and allows one to distinguish between different umbilic points at infinity. It is proven that all such umbilic points at infinity are isolated, that they occur in pairs and are the zeroes of the projective extension of the third fundamental… 

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