Relative generic singularities of the exponential map

S. Janeczko; T. Mostowski

Compositio Mathematica (1995)

  • Volume: 96, Issue: 3, page 345-370
  • ISSN: 0010-437X

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Janeczko, S., and Mostowski, T.. "Relative generic singularities of the exponential map." Compositio Mathematica 96.3 (1995): 345-370. <http://eudml.org/doc/90368>.

@article{Janeczko1995,
author = {Janeczko, S., Mostowski, T.},
journal = {Compositio Mathematica},
keywords = {generic singularities; exponential map; germ; geodesic curve; Hamiltonian},
language = {eng},
number = {3},
pages = {345-370},
publisher = {Kluwer Academic Publishers},
title = {Relative generic singularities of the exponential map},
url = {http://eudml.org/doc/90368},
volume = {96},
year = {1995},
}

TY - JOUR
AU - Janeczko, S.
AU - Mostowski, T.
TI - Relative generic singularities of the exponential map
JO - Compositio Mathematica
PY - 1995
PB - Kluwer Academic Publishers
VL - 96
IS - 3
SP - 345
EP - 370
LA - eng
KW - generic singularities; exponential map; germ; geodesic curve; Hamiltonian
UR - http://eudml.org/doc/90368
ER -

References

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  1. 1 Arnold, V.I., Gusein-Zade, S.M. and Varchenko, A.N.: Singularities of Differentiable Maps, vol. 1. Birkhauser, Boston, 1985. Engl. ed. Zbl1297.32001MR777682
  2. 2 Arnold, V.I.: Mathematical Methods of Classical Mechanics. Second Edition, Graduate Texts in Math. 60, Springer-Verlag, 1989. Zbl0386.70001MR997295
  3. 3 Buchner, M.A.: Stability of the cut locus in dimensions less than or equal to 6. Inventiones Math.43 (1977) 199-231. Zbl0365.58010MR482816
  4. 4 Janeczko, S.: On isotropic submanifolds and evolution of quasicaustics. Pacific J. of Math.158 No. 2 (1993) 317-334. Zbl0806.58023MR1206441
  5. 5 Klok, F.: Generic singularities of the exponential map of Riemannian manifolds. Preprint Mathematisch Instituut, Rijksuniversiteit Groningen, ZW-8022. Zbl0529.53036MR723376
  6. 6 Lang, S.: Introduction to Differentiable Manifolds. New York, London1962. Zbl0103.15101MR155257
  7. 7 Lojasiewicz, S.: Ensembles semi-analytiques, IHES, 1965. 
  8. 8 Mond, D.: On the classification of germs of maps from R2 to R3. Proc. London Math. Soc. (3), 50 (1985) 333-369. Zbl0557.58006MR772717
  9. 9 Strichartz, R.S.: Sub-Riemannian geometry. J. Differential Geometry24 (1986) 221-263. Zbl0609.53021MR862049
  10. 10 Strichartz, R.S.: Corrections to "Sub-Riemannian Geometry" , J. Differential Geometry30 (1989) 595-596. Zbl0609.53021MR1010174
  11. 11 Wall, C.T.: Geometric properties of generic differentiable manifolds. Lecture Notes in Math.597 (1977) 707-774. Zbl0361.58004MR494233
  12. 12 Weinstein, A.: The generic conjugate locus. In Global Analysis, Proc. Symp. in Pure Math.15 (1970) 299-302. Zbl0205.25803MR271993

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