Polygons with prescribed edge slopes: configuration space and extremal points of perimeter-Reference-Cited by-同舟云学术

Polygons with prescribed edge slopes: configuration space and extremal points of perimeter

Published:2018-07-06 Issue:1 Volume:60 Page:1-15
ISSN:0138-4821
Container-title:Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
language:en
Short-container-title:Beitr Algebra Geom

Author:

Gordon Joseph^ORCID,Panina Gaiane^ORCID,Teplitskaya Yana^ORCID

Funder

Russian Foundation for Basic Research

Program of the Presidium of the Russian Academy of Sciences N 01 ’Fundamental Mathematics and its Applications’

Russian Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/article/10.1007/s13366-018-0409-3/fulltext.html

Reference6 articles.

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2. Kapovich, M., Millson, J.: On the moduli space of polygons in the Euclidean plane. J. Differ. Geom. 42(1), 133–164 (1995)

3. Khimshiashvili, G., Panina, G.: Cyclic polygons are critical points of area. Zap. Nauchn. Sem. St. Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 360(8), 238–245 (2008)

4. Khimshiashvili, G., Panina, G.: On the area of a polygonal linkage. Dokl. Akad. Nauk. Math. 85(1), 120–121 (2012)

5. Panina, G., Zhukova, A.: Morse index of a cyclic polygon. Cent. Eur. J. Math. 9(2), 364–377 (2011)

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