C^1-umbilics with arbitrarily high indices

Masaaki Umehara; Naoya Ando; Toshifumi Fujiyama

arxiv: 1508.03685 · v1 · pith:WUPFCYRXnew · submitted 2015-08-15 · 🧮 math.DG

C¹-umbilics with arbitrarily high indices

Naoya Ando , Toshifumi Fujiyama , Masaaki Umehara This is my paper

classification 🧮 math.DG

keywords arbitrarilyhighindicesumbilicsconjectureexistenceimpliesloewner

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In this paper, the existence of C^1-umbilics with arbitrarily high indices is shown. This implies that more than C^1-regularity is required to prove Loewner's conjecture.

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C¹-umbilics with arbitrarily high indices

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