@article{TSG_1995-1996__14__25_0, author = {Colbois, Bruno}, title = {Le spectre du laplacien agissant sur les $p$-formes diff\'erentielles}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {25--37}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {14}, year = {1995-1996}, mrnumber = {1721301}, zbl = {0886.58113}, language = {fr}, url = {http://www.numdam.org/item/TSG_1995-1996__14__25_0/} }
TY - JOUR AU - Colbois, Bruno TI - Le spectre du laplacien agissant sur les $p$-formes différentielles JO - Séminaire de théorie spectrale et géométrie PY - 1995-1996 SP - 25 EP - 37 VL - 14 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/item/TSG_1995-1996__14__25_0/ LA - fr ID - TSG_1995-1996__14__25_0 ER -
%0 Journal Article %A Colbois, Bruno %T Le spectre du laplacien agissant sur les $p$-formes différentielles %J Séminaire de théorie spectrale et géométrie %D 1995-1996 %P 25-37 %V 14 %I Institut Fourier %C Grenoble %U http://www.numdam.org/item/TSG_1995-1996__14__25_0/ %G fr %F TSG_1995-1996__14__25_0
Colbois, Bruno. Le spectre du laplacien agissant sur les $p$-formes différentielles. Séminaire de théorie spectrale et géométrie, Tome 14 (1995-1996), pp. 25-37. http://www.numdam.org/item/TSG_1995-1996__14__25_0/
[AC95] Spectre du laplacien agissant sur les p-formes différentielles et écrasement d'anses, Math. Ann. 303 ( 1995), 545-573. | MR | Zbl
, -[BBG85] Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov, Invent. Math. 80 ( 1985). 295-308. | MR | Zbl
, , -[BGM71] Le spectre d'une variété riemannienne, Springer-Verlag, 1971. | MR | Zbl
, , -[Br86] The spectral geometry of a tower of covering, J. Differential Geom. 23 ( 1986), 97-107. | MR | Zbl
-[BT86] Differential forms inalgebraic topology, Springer-Verlag, 1986. | Zbl
, -[Bu82] A note on the isoperimetric constant, Ann. Sci. École Norm. Sup.Paris 15 ( 1982), 213-230. | Numdam | MR | Zbl
-[CC96] En préparation, 1996.
, -[CC90] A note on the first non-zero eigenvalue of the Laplacien acting on p-forms, Manuscripts Math. ( 1990), 143-160. | MR | Zbl
, -[CD94] Riemannian metrics with large λ1, Proc. Amer. Math. Soc. 122 n° 3 ( 1994), 905-906. | MR | Zbl
, -[Cg75] Eigenvalues comparison theorems and its geometric application, Math. Z. 143 ( 1975), 289-297. | MR | Zbl
-[Cr68] The relation between the Laplacian and the diameter for manifolds of non-negative curvature, Archiv. der Math. XLX ( 1968), 558-560. | MR | Zbl
-[Cr70] A lower bound for the smallest eigenvalue of the Laplacian, "Problem in AnaJysis" Princeton Univ. Press ( 1970), 195-199. | MR | Zbl
-[CE75] Comparison theorem in Riemannian geometry, "North-Holland" Publ. Amsterdam, 1975. | MR | Zbl
, -[CZ95] First eigenvalue estimate on Riemannian manifolds, Hokkaïdo Mathematical Journal 24 ( 1995), 453-472. | MR | Zbl
, -[Fo95] Spectral sequences and adiabatic limits, Commun Math. Phys. 168( 1995), 57-116. | MR | Zbl
-[Fu90] Hausdorff convergence of Riemannian manifolds and its applications, recent topics in differential and analytic geometry, (T.Ochiai ed.) Adv. Stud. Pure Math., Kinohuniya, Tokyo 18 ( 1990),. | MR | Zbl
-[Fu87] Collapsing Riemannian manifolds to one of lower dimension, J. Differential Geom. 25 ( 1987). 517-547. | MR | Zbl
-[Fu89] Collapsing Riemannian manifolds to one of lower dimension II, J. Math. Soc. Japan 41 ( 1989), 333-356. | MR | Zbl
-[Gr80] Paul Lévy's isoperimetric inequality, Prépublication IHES, 1980.
-[GLP80] Structure métrique pour les variétés riemanniennes, Cedic-Fernand Nathan, 1980. | Zbl
, , -[GP95] Riemannian metrics with large fust eigenvalue on forms of degree p, Proc. Amer. Math. Soc. 123 ( 1995). 3855-3856. | MR | Zbl
, -[He70] Quatre propriétés isopérimétriques des membranes sphériques, C. R. Acad. Sci. Paris ( 1970), 1645-1648. | MR | Zbl
-[HK78] A general comparison theorem with applications to volume estimates for submanifolds, Ann. Sci. École Norm. Sup. Paris 11 ( 1978), 451-470. | Numdam | MR | Zbl
, -[Li58] Géométrie des groupes de transformations, Dunod, 1958. | MR | Zbl
-[Lo95] Discontinuity of geometric expansions, Preprint, 1995. | Zbl
-[Mu80] The first eigenvalue of the Laplacian on even dimensional spheres, Tohoku Math. Journal 32 ( 1980), 427-432. | MR | Zbl
-[Pa83] Effondrement des variétés riemanniennes, Sem. Bourbaki, 618, 1983-84. | Numdam | Zbl
-[Ur79] On the least eigenvalue of the Laplacian for compact group manifolds, J. Math. Soc. Japan 31 ( 1979). 209-226. | MR | Zbl
-[Wa83] Foundation of differentiable manifolds and Lie groups, Springer-Verlag, 1983. | MR | Zbl
-[YY80] Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds, Ann. Scuola Norm. Sup. Pisa 7 ( 1980), 55-63. | Numdam | MR | Zbl
, -