Isolated roundings and flattenings of submanifolds in Euclidean spaces

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概要

• 論文の詳細を見る

• We introduce the concepts of rounding and flattening of a smooth map $g$ of an $m$-dimensional manifold $M$ to the euclidean space $\R^n$ with $m<n$, as those points in $M$ such that the image $g(M)$ has contact of type $\Sigma^{m,\dots,m}$ with a hypersphere or a hyperplane of $\R^n$, respectively. This includes several known special points such as vertices or flattenings of a curve in $\R^n$, umbilics of a surface in $\R^3$, or inflections of a surface in $\R^4$.

• 東北大学の論文

著者

• Nuno-ballesteros Juan

  Departament De Geometria I Topologia Universitat De Valencia

• Fukui Toshizumi

  Department Of General Education Nagano National College Of Technology

• FUKUI Toshizumi

  Department of Mathematics, Faculty of Science, Saitama University

関連論文

• Modified analytic trivialization for weighted homogeneous function-germs
• Isolated roundings and flattenings of submanifolds in Euclidean spaces
• Modified analytic trivialization via weighted blowing up
• Height functions on Whitney umbrellas (Singularity theory, geometry and topology)

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