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Morse index of a cyclic polygon. / Panina, G.; Zhukova, A.

In: Central European Journal of Mathematics, Vol. 9, No. 2, 2011, p. 364-377.

Research output: Contribution to journal › Article

Harvard

Panina, G & Zhukova, A 2011, 'Morse index of a cyclic polygon', Central European Journal of Mathematics, vol. 9, no. 2, pp. 364-377. <http://www.springerlink.com/content/l106150r574388q1/>

APA

Panina, G., & Zhukova, A. (2011). Morse index of a cyclic polygon. Central European Journal of Mathematics, 9(2), 364-377. http://www.springerlink.com/content/l106150r574388q1/

Vancouver

Panina G, Zhukova A. Morse index of a cyclic polygon. Central European Journal of Mathematics. 2011;9(2):364-377.

Author

Panina, G. ; Zhukova, A. / Morse index of a cyclic polygon. In: Central European Journal of Mathematics. 2011 ; Vol. 9, No. 2. pp. 364-377.

BibTeX

@article{95c8d82a133e4985a4dfb7d356dcae66,
title = "Morse index of a cyclic polygon",
abstract = "It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. It depends not only on the combinatorics of a cyclic configuration, but also includes some metric characterization.",
keywords = "Morse index, linkage, moduli space, cyclic polygon.",
author = "G. Panina and A. Zhukova",
year = "2011",
language = "English",
volume = "9",
pages = "364--377",
journal = "Open Mathematics",
issn = "1895-1074",
publisher = "Versita",
number = "2",

}

RIS

TY - JOUR

T1 - Morse index of a cyclic polygon

AU - Panina, G.

AU - Zhukova, A.

PY - 2011

Y1 - 2011

N2 - It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. It depends not only on the combinatorics of a cyclic configuration, but also includes some metric characterization.

AB - It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper we give an explicit formula of the Morse index for the signed area of a cyclic configuration. It depends not only on the combinatorics of a cyclic configuration, but also includes some metric characterization.

KW - Morse index

KW - linkage

KW - moduli space

KW - cyclic polygon.

M3 - Article

VL - 9

SP - 364

EP - 377

JO - Open Mathematics

JF - Open Mathematics

SN - 1895-1074

IS - 2

ER -

ID: 5263453