Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



On the number of connected components in the space of closed nondegenerate curves on $S_n$

Authors: B. Z. Shapiro and M. Z. Shapiro
Journal: Bull. Amer. Math. Soc. 25 (1991), 75-79
MSC (1985): Primary 53A04
MathSciNet review: 1080005
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • Mikhael Gromov, Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 9, Springer-Verlag, Berlin, 1986. MR 864505
  • [L1] J. Little, Nondegenerated homotopies of curves on the unit 2-sphere, J. Differential Geom. 4 (1970), 339-348. MR 275333
  • [L2] J. Little, Third order nondegenerate homotopies of the space curves, J. Differential Geom. 5 (1971), 503-515. MR 291996
  • Ursula Hamenstädt, Zur Theorie von Carnot-Carathéodory Metriken und ihren Anwendungen, Bonner Mathematische Schriften [Bonn Mathematical Publications], vol. 180, Universität Bonn, Mathematisches Institut, Bonn, 1987 (German). Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, 1986. MR 896272
  • [S] T. L. Sherman, Conjugate points and simple zeros for ordinary linear differential equations, Trans. Amer. Math. Soc. 146 (1969), 397-411. MR 255912
  • Werner Fenchel, Über Krümmung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), no. 1, 238–252 (German). MR 1512528,
  • V. Yu. Ovsienko and B. A. Khesin, Symplectic leaves of the Gel′fand-Dikiĭ brackets and homotopy classes of nonflattening curves, Funktsional. Anal. i Prilozhen. 24 (1990), no. 1, 38–47 (Russian); English transl., Funct. Anal. Appl. 24 (1990), no. 1, 33–40. MR 1052266,

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 53A04

Retrieve articles in all journals with MSC (1985): 53A04

Additional Information


American Mathematical Society