Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2012_24_3_a3, author = {A. Zhukova}, title = {Morse index of a~cyclic {polygon.~II}}, journal = {Algebra i analiz}, pages = {128--147}, publisher = {mathdoc}, volume = {24}, number = {3}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2012_24_3_a3/} }
A. Zhukova. Morse index of a~cyclic polygon.~II. Algebra i analiz, Tome 24 (2012) no. 3, pp. 128-147. http://geodesic.mathdoc.fr/item/AA_2012_24_3_a3/
[1] Cerf J., “La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie”, Inst. Hautes Études Sci. Publ. Math., 39 (1970), 5–173 | MR | Zbl
[2] Elerdashvili E., Jibladze M., Khimshiashvili G., “Cyclic configurations of pentagon linkages”, Bull. Georgian Natl. Acad. Sci., 2:4 (2008), 29–32 | MR | Zbl
[3] Farber M., Schütz D., “Homology of planar polygon spaces”, Geom. Dedicata, 125 (2007), 75–92 | DOI | MR | Zbl
[4] Gibson C., Newstead P., “On the geometry of the planar 4-bar mechanism”, Acta Appl. Math., 7 (1986), 113–135 | DOI | MR | Zbl
[5] Khimshiashvili G., “On configuration spaces of planar pentagons”, Zap. nauch. semin. POMI, 292, 2002, 120–129 | MR | Zbl
[6] Khimshiashvili G., “Configuration spaces and signature formulae”, Algebra and Geometry, J. Math. Sci. (N.Y.), 160:6 (2009), 727–736 | MR | Zbl
[7] Khimshiashvili G., Panina G., “Cyclic polygons are critical points of area”, Zap. nauch. semin. POMI, 360, 2008, 238–245 | MR | Zbl
[8] Panina G., Zhukova A., “Morse index of a cyclic polygon”, Cent. Eur. J. Math., 9:2 (2011), 364–377 | DOI | MR | Zbl
[9] Polya G., Induction and analogy in mathematics. Mathematics and Plausible Reasoning, v. 1, Princeton Univ. Press, Princeton, NJ, 1954 | MR | Zbl
[10] Robbins D., “Areas of polygons inscribed in a circle”, Discrete Comput. Geom., 12:2 (1994), 223–236 | DOI | MR | Zbl
[11] Zvonkine D., “Configuration spaces of hinge constructions”, Russian J. Math. Phys., 5:2 (1997), 247–266 | MR | Zbl