Research Institute of Environment and Information Sciences, Yokohama National University
抄録
A simple geometric mechanism: 'the locus of intersections of perpendicular bisectors and normal lines', often arises in many guises in nonlinear sciences. In this paper, a new application of this simple geometric mechanism is given. Namely, we show that this mechanism gives answers to all four basic problems on envelopes created by hyperplane families (existence problem, representation problem, equivalence problem of definitions, uniqueness problem) at once.
雑誌名
Nonlinearity
巻
35
ページ
2587 - 2620
発行年
2022-04-29
ISSN
1361-6544
書誌レコードID
AA12472330
DOI
info:doi/10.1088/1361-6544/ac61a0
権利
This is the Accepted Manuscript version of an article accepted for publication in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/ac61a0
Hyperplane families creating envelopes
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Nishimura_2022_Nonlinearity_35_2587.pdf
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