Envelopes created by sphere families in Euclidean 3-space

Fuente: arXiv
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Main Authors: Nishimura, Takashi, Takahashi, Masatomo, Wang, Yongqiao
Format: Preprint
Published: 2025
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_version_ 1866910168086740992
author Nishimura, Takashi
Takahashi, Masatomo
Wang, Yongqiao
author_facet Nishimura, Takashi
Takahashi, Masatomo
Wang, Yongqiao
contents In this paper, on envelopes created by sphere families in Euclidean 3-space, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem on relationships of definitions) are solved.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01611
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Envelopes created by sphere families in Euclidean 3-space
Nishimura, Takashi
Takahashi, Masatomo
Wang, Yongqiao
Differential Geometry
51M15, 53A05, 57R45, 58C25
In this paper, on envelopes created by sphere families in Euclidean 3-space, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem on relationships of definitions) are solved.
title Envelopes created by sphere families in Euclidean 3-space
topic Differential Geometry
51M15, 53A05, 57R45, 58C25
url https://arxiv.org/abs/2511.01611