Total curvature of graphs in Euclidean spaces

Kouki Taniyama

doi:10.1016/S0926-2245(98)00002-3

Total curvature of graphs in Euclidean spaces

Kouki Taniyama

教育学部

研究成果: Article

6 引用（Scopus）

抜粋

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.

元の言語	English
ページ（範囲）	135-155
ページ数	21
ジャーナル	Differential Geometry and its Application
巻	8
発行部数	2
DOI	https://doi.org/10.1016/S0926-2245(98)00002-3
出版物ステータス	Published - 1998 4

ASJC Scopus subject areas

Analysis
Geometry and Topology
Computational Theory and Mathematics

文献にアクセス

10.1016/S0926-2245(98)00002-3

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これを引用

Taniyama, K. (1998). Total curvature of graphs in Euclidean spaces. Differential Geometry and its Application, 8(2), 135-155. https://doi.org/10.1016/S0926-2245(98)00002-3

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