La première valeur propre non nulle du laplacien des p - formes

Gilles Courtois

Séminaire de théorie spectrale et géométrie (1989-1990)

  • Volume: 8, page 73-75
  • ISSN: 1624-5458

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Courtois, Gilles. "La première valeur propre non nulle du laplacien des $p-$formes." Séminaire de théorie spectrale et géométrie 8 (1989-1990): 73-75. <http://eudml.org/doc/114302>.

@article{Courtois1989-1990,
author = {Courtois, Gilles},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {diameter; Ricci-curvature; Cheeger's isoperimetric constant},
language = {fre},
pages = {73-75},
publisher = {Institut Fourier},
title = {La première valeur propre non nulle du laplacien des $p-$formes},
url = {http://eudml.org/doc/114302},
volume = {8},
year = {1989-1990},
}

TY - JOUR
AU - Courtois, Gilles
TI - La première valeur propre non nulle du laplacien des $p-$formes
JO - Séminaire de théorie spectrale et géométrie
PY - 1989-1990
PB - Institut Fourier
VL - 8
SP - 73
EP - 75
LA - fre
KW - diameter; Ricci-curvature; Cheeger's isoperimetric constant
UR - http://eudml.org/doc/114302
ER -

References

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  1. [BU 1] BUSER P. - On Cheeger inequality λ1 ≥ h2/4, Proc, of Symp. in Pure Math., 36 ( 1980), 29-77. Zbl0432.58024MR573428
  2. [BU 2] BUSER P. - A note on the isoperimetric constant, Ann. Scient. Ec. Norm. Sup. Série 4, 15 ( 1982), 213-230. Zbl0501.53030MR683635
  3. [C-C] COURTOIS G. , COLBOIS B. - A note on the first non zero eigenvalue of the laplacian acting on p-forms, Manuscripta Math., 68 ( 1990), 143-160. Zbl0709.53031MR1063223
  4. [C-G 1] CHEEGER J., GROMOV M. - Collapsing riemanniann manifolds while keeping their curvature bounded I, J. Diff. Geom., 23 ( 1986), 309-346. Zbl0606.53028MR852159
  5. [C-G 2] CHEEGER J. , GROMOV M. - Collapsing riemanniann manifolds while keeping their curvature bounded II, Preprint. Zbl0727.53043MR1064875
  6. [CR] CHEEGER J. - A lower bound for the smallest eigenvalue of the laplacian problems in analysis, A symposium in honour of Bochner, Princeton University Press, NJ. ( 1970), 195-199. Zbl0212.44903MR402831
  7. [PA] PANSU P. - Dégénérescence des variétés riemanniennes, d'après 7. Cheeger et M. Gromov, Astérisque 121, 1985. Zbl0551.53020MR768954
  8. [PE] PETERS S. - Convergence of riemanniann manifolds composition, Math., 62 ( 1987), 1-16. Zbl0618.53036MR892147

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