Sur le spectre des longueurs des surfaces de Riemann

Laurent Guillopé

Journées équations aux dérivées partielles (1985)

  • Issue: 1, page 1-9
  • ISSN: 0752-0360

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Guillopé, Laurent. "Sur le spectre des longueurs des surfaces de Riemann." Journées équations aux dérivées partielles (1985): 1-9. <http://eudml.org/doc/93125>.

@article{Guillopé1985,
author = {Guillopé, Laurent},
journal = {Journées équations aux dérivées partielles},
keywords = {Riemann surface; spectrum of Laplacian; closed geodesics; first eigenvalue of the Laplacian},
language = {fre},
number = {1},
pages = {1-9},
publisher = {Ecole polytechnique},
title = {Sur le spectre des longueurs des surfaces de Riemann},
url = {http://eudml.org/doc/93125},
year = {1985},
}

TY - JOUR
AU - Guillopé, Laurent
TI - Sur le spectre des longueurs des surfaces de Riemann
JO - Journées équations aux dérivées partielles
PY - 1985
PB - Ecole polytechnique
IS - 1
SP - 1
EP - 9
LA - fre
KW - Riemann surface; spectrum of Laplacian; closed geodesics; first eigenvalue of the Laplacian
UR - http://eudml.org/doc/93125
ER -

References

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  1. [1] S. CHENG, P. LI et S. YAU - On the upper estimate of the heat kernel of a complete riemannian manifold. Amer. J. Math. 103 (1981), 1021-1063. Zbl0484.53035MR83c:58083
  2. [2] DUISTERMAT, V. GUILLEMIN - The spectrum of positive elliptic operators and bicharacteristics. Invent. Math. 29 (1975), 39-79. Zbl0307.35071MR53 #9307
  3. [3] R. GANGOLLI - The length spectrum of some compact manifolds of negative curvature. J. Differential Geometry 12 (1977), 403-424. Zbl0365.53016MR58 #31311
  4. [4] G. GRUBB - Singular Green operators and trace class estimates for exterior boundary problems. Duke Math. J. 1984 (51), 447-528. Zbl0553.58034MR86d:35109
  5. [5] L. GUILLOPEa. Sur le spectre des longueurs d'une surface compacte à courbure -1 et à bord totalement géodésique. C.R.A.S. 300 (1985), 355-358. Zbl0574.53030MR86k:58127
  6. L. GUILLOPEb. Sur la distribution des longueurs des géodésiques fermées d'une surface à bord totalement géodésique. Prép. Institut Fourier, 32 (1985). Zbl0611.53042
  7. [6] D. HEIJHAL - The Selberg trace formula for PSL (2, ℝ), vol. 1 et vol. 2. Lecture notes in math., 548 (1976) et 1001 (1983), Springer. Zbl0347.10018
  8. [7] S. LANG - Algebraic numbers (1964), Addison-Wesley. Zbl0211.38501MR28 #3974
  9. [8] J. MILNOR - A note on curvature and the fundamental group. J. of differential geometry 2 (1968), 1-7. Zbl0162.25401MR38 #636
  10. [9] S.J. PATTERSON - The limit set of a fuchsian group. Acta Math. 136 (1976), 241-273. Zbl0336.30005MR56 #8841
  11. [10] S.J. PATTERSON - The Laplacian operator on a Riemann surface. Composito Math. 31 (1975), 83-107. Zbl0321.30020MR52 #5575
  12. [11] D. SULLIVAN - The density at infinity of a discrete group of hyperbolic motions. Publ. Math. I.H.E.S. 50 (1979), 419-450. Zbl0439.30034MR81b:58031

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