title: MORSE INDEX OF A CYCLIC POLYGON. II
metadata.name: dc.contributor.author
metadata.value: Zhukova, A. M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2015-08-27T20:47:02Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2015-08-27T20:47:02Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2013
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/1711
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A polygonal linkage can be imagined as a set of n rigid bars connected
  by links cyclically. This construction lies on a plane and can rotate freely around the
  links, with allowed self-intersections. On the moduli space of the polygonal linkage,
  the signed area function A is defined. G. Panina and G. Khimshiashvili proved
  that cyclic configurations of a polygonal linkage are the critical points of A. Later,
  G. Panina and the author described a way to compute the Morse index of a cyclic
  configuration of a polygonal linkage. In this paper a simple formula for the Morse
  index of a cyclic configuration is given. Also, a description is obtained for all possible
  local extrema of A.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Partially supported by the program “Research in Pairs” of Mathematisches Forschungsinstitut Oberwolfach
  in 2010.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: St. Petersburg Mathematical Journal;24:3,
metadata.lang: -
metadata.name: dc.subject
metadata.value: Linkages
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: moduli space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Morse theory
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: MORSE INDEX OF A CYCLIC POLYGON. II
metadata.lang: en_GB
metadata.name: dc.title.alternative
metadata.value: Индекс Морса циклического многоугольника. II
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: S1061-0022-2013-01247-7.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/1711/1/S1061-0022-2013-01247-7.pdf
resources.format: Adobe PDF
resources.size: 212,32 kB