抄録
In this paper we define the total curvature of a polygonal map from a finite graph G to a Euclidean space En. We characterize for certain G the polygonal maps with minimal total curvature. When G is homeomorphic to a circle the result is the piecewise linear version of the generalized Fenchel theorem on the total curvature of a smooth closed curve in a Euclidean space.
本文言語 | English |
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ページ(範囲) | 135-155 |
ページ数 | 21 |
ジャーナル | Differential Geometry and its Application |
巻 | 8 |
号 | 2 |
DOI | |
出版ステータス | Published - 1998 4月 |
外部発表 | はい |
ASJC Scopus subject areas
- 分析
- 幾何学とトポロジー
- 計算理論と計算数学