Mendeley出力
＜図書＞
Mean curvature flow and isoperimetric inequalities
| 責任表示 | Manuel Ritoré, Carlo Sinestrari ; editors for this volume: Vicente Miquel, Joan Porti |
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| シリーズ | Advanced courses in mathematics CRM Barcelona |
| データ種別 | 図書 |
| 出版情報 | Basel : Birkhäuser , c2010 |
| 本文言語 | 英語 |
| 大きさ | viii, 113 p. : ill. ; 24 cm |
| 概要 | Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface evolution in certain physical models. This is related to the property...that such a flow is the gradient flow of the area functional and therefore appears naturally in problems where a surface energy is minimized. The mean curvature flow also has many geometric applications, in analogy with he Ricci flow of metrics on abstract Riemannian manifolds. One can use this flow as a tool to obtain classification results for surfaces satisfying certain curvature conditions, as well as to construct minimal surfaces. Geometric flows, obtained from solutions of geometric parabolic equations, can be considered as an alternative tool to prove isoperimetric inequalities. On the other hand, isoperimetric inequalities can help in treating several aspects of convergence of these flows. Isoperimetric inequalities have many applications in other fields of geometry, like hyperbolic manifolds.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/7000744 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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: pbk | 理系図3F 数理独自 | RITO/10/1 | 2010 |
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023212009006091 |
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書誌詳細
| 一般注記 | Includes bibliographical references |
|---|---|
| 著者標目 | *Ritore, Manuel Sinestrari, Carlo Miquel, Vicente Porti, Joan |
| 件 名 | LCSH:Flows (Differentiable dynamical systems) LCSH:Isoperimetric inequalities |
| 分 類 | DC22:516.362 |
| 書誌ID | 1001408607 |
| ISBN | 9783034602129 |
| NCID | BB00058158 |
| 巻冊次 | : pbk ; ISBN:9783034602129 |
| NBN | 015367005 |
| 登録日 | 2009.12.16 |
| 更新日 | 2017.02.18 |