This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
D. Anosov, GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITH NEGATIVE CURVATURE, Proc. Steklov Inst. Math. 90(1967).
D. Asimov and H. Gluck, Morse-Smale fields of geodesics, this volume.
[D1] A. Denjoy, Sur les courbes définies par les équations différentielles á la surface du tore, J. Math. Pures Appl. 11(1932), 333–375.
[D2] _____, Theorie des fonctions sur les characteristiques a la surface du tore, Comptes Rendus Acad. Sci. 194(1932), 830–833.
[D3] _____, Theorie des fonctions sur les characteristiques du tore, Comptes Rendus Acad. Sci. 194(1932), 2014–2016.
[D4] _____, Les trajectoires á la surface du tore, Comptes Rendus Acad. Sci. 223(1946), 5–8.
G. DeRham, VARIÉTÉS DIFFÉRENTIABLES, Herman, Paris (1960).
E. I. Dinaburg, On the relations among various entropy characteristics of dynamical systems, Math. USSR Izvestia 5(1971), 337–378.
R. Edwards, K. Millett and D. Sullivan, Foliations with all leaves compact, Topology 16(1977), 13–32.
D.B.A. Epstein, Periodic flows on three-manifolds, Annals of Math. 95(1972), 66–82.
D.B.A. Epstein and E. Vogt, A counterexample to the periodic orbit conjecture in codimension 3, Annals of Math. 108(1978), 539–552.
H. Gluck, Can space be filled by geodesics, and if so, how?, to appear.
A. Kafker, Geodesic fields with singularities, thesis, U. of Pennsylvania (1979).
H. Kneser, Reguläre Kurvenscharen auf den Ringflächen, Math. Annalen 91(1924), 135–154.
L. Schwartz, THÉORIE DES DISTRIBUTIONS, Herman, Paris (1966).
S. Schwartzman, Asymptotic cycles, Annals of Math. 66(1957), 270–284.
[S1] D. Sullivan, A counterexample to the periodic orbit conjecture, Publ. IHES 46(1976), 5–14.
[S2] _____, A foliation of geodesics is characterized by having no tangent homologies, J. Pure and Appl. Algebra 13(1978), 101–104.
[S3] _____, Cycles for the dynamical study of foliated manifolds and complex manifolds, Invent. Math. 36(1976), 225–255.
D. Tischler, On fibering certain manifolds over S 1, Topology 9(1970), 153–154.
A. W. Wadsley. Geodesic foliations by circles, J. Diff. Geom. 10(1975), 541–549.
A. Weinstein, On the hypotheses of Rabinowitz' periodic orbit theorems, to appear in J. Diff. Eqs.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1980 Springer-Verlag
About this paper
Cite this paper
Gluck, H. (1980). Dynamical behavior of geodesic fields. In: Nitecki, Z., Robinson, C. (eds) Global Theory of Dynamical Systems. Lecture Notes in Mathematics, vol 819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086988
Download citation
DOI: https://doi.org/10.1007/BFb0086988
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10236-6
Online ISBN: 978-3-540-38312-3
eBook Packages: Springer Book Archive