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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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

Author(s): B. Z. Shapiro; M. Z. Shapiro
Journal: Bull. Amer. Math. Soc. 25 (1991), 75-79.
MSC (1985): Primary 53A04
MathSciNet review: 1080005
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References | Similar articles | Additional information

References:

[G] M. L. Gromov, Partial differential relations, Springer-Verlag, Berlin and New York, 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

[H] U. Hamenstadt, Zur Theorie von Carno-Caratheodory Metriken und ihren Anwedungen, Bonner Math. Schr. 180 (1987), 1-64. 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

[F] W. Fenchel. Über Krummung und Windung geschlossener Raumkurven, Math. Ann. 101 (1929), 238-252. MR 1512528

[K-O] B. A. Khesin and V. Yu. Ovsienko, Symplectic leaves of Gelfand-Dikii's brackets and homotopical classes of nondegenerate curves, Funkcional. Anal. i Priložen. 24 (1990), 38-47. MR 1052266


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Additional Information:

DOI: 10.1090/S0273-0979-1991-16028-3
PII: S 0273-0979(1991)16028-3


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