Total curvature of graphs in Euclidean spaces

研究成果: Article

6 引用 (Scopus)

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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
8
発行部数2
DOI
出版物ステータスPublished - 1998 4

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

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