THE RIEMANNIAN VOLUME OF THE MODULI SPACE OF PLANAR QUASI-EQUILATERAL POLYGONS WITH VERTEX NUMBER 4, 5 OR 6: University of the Ryukyus Repository


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Title	:	THE RIEMANNIAN VOLUME OF THE MODULI SPACE OF PLANAR QUASI-EQUILATERAL POLYGONS WITH VERTEX NUMBER 4, 5 OR 6
Authors	:	KAMIYAMA, YASUHIKO
Authors alternative	:	神山, 靖彦
Issue Date	:	Dec-2012
Abstract	:	Let P(n, r) be the moduli space of n-gons in R^2 whose edge lengths are 1, ... , 1 and r. There is an inclusion P(n, r) → (R^2)^n. Restricting the usual Riemannian metric on (R^2)^n, we regard P(n, r) as a Riemannian manifold. In this paper, with the aid of a computer, we compute the volume of P(n, r) for n = 4, 5 and 6.
Type Local	:	紀要論文
ISSN	:	1344-008X
Publisher	:	Department of Mathematical Science, Faculty of Science, University of the Ryukyus
URI	:	http://hdl.handle.net/20.500.12000/25654
Citation	:	Ryukyu mathematical journal Vol.25 p.1 -19
Appears in Collections	:	Vol.25 (2012)

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