The behavior of the principal distributions around an isolated umbilical point
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概要
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Let f be a homogeneous polynomial in two variables such that on its graph G<SUB>f</SUB>, the origin o=(0, 0, 0) of \bm{R}<SUP>3</SUP> is an isolated umbilical point. In this paper, the behavior of the principal distributions around o is studied in relation to the existence of other umbilical points than o and the behavior of the gradient vector field of f.
- 社団法人 日本数学会の論文