Moduli Spaces of Bicentric Quadrilaterals

Verfasser / Beitragende:
[G. Khimshiashvili]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/1(2015-11-01), 31-39
Format:
Artikel (online)
ID: 605523010
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024 7 0 |a 10.1007/s10958-015-2600-5  |2 doi 
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100 1 |a Khimshiashvili  |D G.  |u Ilia State University, Tbilisi, Georgia  |4 aut 
245 1 0 |a Moduli Spaces of Bicentric Quadrilaterals  |h [Elektronische Daten]  |c [G. Khimshiashvili] 
520 3 |a We deal with planar moduli spaces of polygonal linkages arising from a poristic family of bicentric polygons. For bicentric quadrilaterals, we describe the topological types of moduli spaces in poristic families and find the absolute maximum and minimum of oriented area in the union of moduli spaces. Similar results are obtained for poristic quadrilaterals associated with a pair of confocal ellipses. In conclusion we outline some research perspectives suggested by our results. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Khimshiashvili  |D G.  |u Ilia State University, Tbilisi, Georgia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 211/1(2015-11-01), 31-39  |x 1072-3374  |q 211:1<31  |1 2015  |2 211  |o 10958