Loading [MathJax]/jax/output/SVG/config.js
Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Regular and Chaotic Dynamics, 1999, Volume 4, Issue 3, Pages 53–60
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000116 (Mi rcd912) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Reduction of Morse Functions on Surfaces to Canonical Form by Smooth Deformation

E. A. Kudryavtseva

Faculty of Mechanics and Mathematics, Department of Differential Geometry and Applications, Moscow State University, Vorob'ievy gory, 119899 Moscow, Russia
Citations (3)
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000116
Abstract: Relatively recently in works [3], [4] the topological classification of smooth Hamiltonian systems with one degree of freedom was obtained. When we study the stability of obtained topological invariants, the following natural question arised: is the space of all Morse functions with fixed number of minima and maxima on a closed surface connected? The present paper discusses this question and gives an algorithm of reduction of any Morse function on a closed orientable surface to the so-called canonical form.
Received: 12.09.1999
Bibliographic databases:
Document Type: Article
MSC: 58F22, 58F05
Language: English
Citation: E. A. Kudryavtseva, “Reduction of Morse Functions on Surfaces to Canonical Form by Smooth Deformation”, Regul. Chaotic Dyn., 4:3 (1999), 53–60
Citation in format AMSBIB
\Bibitem{Kud99}
\by E. A. Kudryavtseva
\paper Reduction of Morse Functions on Surfaces to Canonical Form by Smooth Deformation
\jour Regul. Chaotic Dyn.
\yr 1999
\vol 4
\issue 3
\pages 53--60
\mathnet{http://mi.mathnet.ru/rcd912}
\crossref{https://doi.org/10.1070/RD1999v004n03ABEH000116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1777880}
\zmath{https://zbmath.org/?q=an:1002.37026}
Linking options:
  • https://www.mathnet.ru/eng/rcd912
  • https://www.mathnet.ru/eng/rcd/v4/i3/p53
    • This publication is cited in the following 3 articles:
    1. Michalak L.P., “Combinatorial Modifications of Reeb Graphs and the Realization Problem”, Discret. Comput. Geom., 65:4 (2021), 1038–1060  crossref  mathscinet  isi  scopus
    2. Barbara Di Fabio, Claudia Landi, “The Edit Distance for Reeb Graphs of Surfaces”, Discrete Comput Geom, 55:2 (2016), 423  crossref
    3. Barbara Di Fabio, Claudia Landi, Lecture Notes in Computer Science, 7908, Advanced Information Systems Engineering, 2014, 202  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:96
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025