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Topological aspect of Wulff shapes
http://hdl.handle.net/10131/8535
http://hdl.handle.net/10131/8535e5f77547-8b72-4919-901e-3ac9dbb5c9fa
名前 / ファイル | ライセンス | アクション |
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JMSJ6173.pdf (4.5 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-03-24 | |||||
タイトル | ||||||
タイトル | Topological aspect of Wulff shapes | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者 |
Nishimura, Takashi
× Nishimura, Takashi× Sakemi, Yu |
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著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 217 | |||||
識別子Scheme | e-Rad | |||||
識別子URI | https://kaken.nii.ac.jp/ja/search/?qm= 80189307 | |||||
識別子 | 80189307 | |||||
姓名 | ニシムラ, タカシ | |||||
著者(ヨミ) | ||||||
識別子Scheme | WEKO | |||||
識別子 | 18991 | |||||
姓名 | サケミ, ユウ | |||||
著者所属 | ||||||
Research Group of Mathematical Sciences, Research Institute of Environment and Information Sciences, Yokohama National University | ||||||
著者所属 | ||||||
NTT COMWARE | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this paper we investigate Wulff shapes in Rⁿ⁺¹ (n ≥ 0) from the topological viewpoint. A topological characterization of the limit of Wulff shapes and the dual Wulff shape of the given Wulff shape are provided. Moreover, we show that the given Wulff shape is never a polytope if its support function is of class C¹. Several characterizations of the given Wulff shape from the viewpoint of pedals are also provided. One of such characterizations may be regarded as a bridge between the mathematical aspect of crystals at equilibrium and the mathematical aspect of perspective projections. | |||||
書誌情報 |
Journal of the mathematical society of Japan 巻 66, 号 1, 発行日 2014 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00255645 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0070177X | |||||
著者版フラグ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa |