@incollection{SB_1980-1981__23__132_0, author = {Gallot, Sylvestre}, title = {Minorations sur le $\lambda _1$ des vari\'et\'es riemanniennes}, booktitle = {S\'eminaire Bourbaki : vol. 1980/81, expos\'es 561-578}, series = {S\'eminaire Bourbaki}, note = {talk:569}, pages = {132--148}, publisher = {Springer-Verlag}, number = {23}, year = {1981}, zbl = {0493.53034}, language = {fr}, url = {http://archive.numdam.org/item/SB_1980-1981__23__132_0/} }
TY - CHAP AU - Gallot, Sylvestre TI - Minorations sur le $\lambda _1$ des variétés riemanniennes BT - Séminaire Bourbaki : vol. 1980/81, exposés 561-578 AU - Collectif T3 - Séminaire Bourbaki N1 - talk:569 PY - 1981 SP - 132 EP - 148 IS - 23 PB - Springer-Verlag UR - http://archive.numdam.org/item/SB_1980-1981__23__132_0/ LA - fr ID - SB_1980-1981__23__132_0 ER -
%0 Book Section %A Gallot, Sylvestre %T Minorations sur le $\lambda _1$ des variétés riemanniennes %B Séminaire Bourbaki : vol. 1980/81, exposés 561-578 %A Collectif %S Séminaire Bourbaki %Z talk:569 %D 1981 %P 132-148 %N 23 %I Springer-Verlag %U http://archive.numdam.org/item/SB_1980-1981__23__132_0/ %G fr %F SB_1980-1981__23__132_0
Gallot, Sylvestre. Minorations sur le $\lambda _1$ des variétés riemanniennes, in Séminaire Bourbaki : vol. 1980/81, exposés 561-578, Séminaire Bourbaki, no. 23 (1981), Talk no. 569, 17 p. http://archive.numdam.org/item/SB_1980-1981__23__132_0/
[AG] Lectures on Elliptic Boundary value Problems, Van Nostrand, 1965. | MR | Zbl
,[AU] Fonction de Green et valeurs propres du laplacien, J. Math. Pures et Appl. 1974, 347-371. | MR | Zbl
,[BE] Spectres et Groupes cristallographiques I : Domaines Euclidiens, Inventiones Math., 58, 1980, 179-199. | MR | Zbl
,[BB] La courbure scalaire des variétés riemanniennes, Séminaire Bourbaki 79/80, n° 556. | Numdam
,[B-C] Geometry of Manifolds, Academic Press (1964). | MR | Zbl
et ,[B-G-M] le spectre d'une variété riemannienne, Lectures Notes in Maths, 194 (1971). | Zbl
, et ,[B-L] Some Inequalities for Gaussian measures and the long-range order of the one-dimensional plasma, Clarendon Press, Oxford 1975.
et ,[BU1] On cheeger's Inequality λ1 ≥ h2/4, Proceedings of A.M.S. Symposia in Pure Maths, 36, 1980. | Zbl
,[C] A lower bound for the smallest eigenvalue of the Laplacian, Problems in Analysis, Princeton University Press, 1970, 195-199. | MR | Zbl
,[CG] Eigenvalue comparison theorems and its geometric applications, Math. Z. 143(1975), 289-297. | MR | Zbl
,[G1] Paul Levy's isoperimetric inequality, soumis à Ann. Scient. Ec. Norm. Sup. Paris.
,[G2] Structures métriques pour les variétés riemanniennes, Cedic-Nathan, textes mathématiques n°1, Paris 1981. | MR | Zbl
,[H-K] A general comparison theorem with applications to volume estimates for submanifolds, Ann. Scient. Ec. Norm. Sup. Paris, 11, 1978, 451-470. | Numdam | MR | Zbl
et ,[M] Morse theory, Annals of Math. Studies, 53, Princeton University Press, Princeton 1963. | MR | Zbl
,[M-F] Methods of theoritical Physics, Mc-Graw Hill, 1953. | Zbl
et ,[01] The Isoperimetric Inequality, Bull. A. M. S., 84, N°6, 1978, 1182-1238. | MR | Zbl
,[02] A note on Hayman's theorem on the bass note of a drum, Comment. Math. Helv. 52, 1977, 545-555. | MR | Zbl
,[03] Bonnesen-style isoperimetric inequalities, American Math. Monthly, 86, 1979, 1-29. | MR | Zbl
,[P] Isoperimetric inequalities and their applications, SIAM Review, Vol 9, N°3, 1967, 453-488. | MR | Zbl
,[P-W] An optimal Poincaré inequality for convex domains, Arch. Ration. Mech. Anal., 5(1960), 286-292. | MR | Zbl
et ,[P-S] Isoperimetric inequalities in mathematical physics, Annals of Math. Studies N°77, Princeton University Press, Princeton 1951. | MR | Zbl
et ,[W] An isoperimetric inequality for the N-dimensional free membrane problem, J. Ration. Mech. Anal. 5(1956), 533-636. | MR | Zbl
,[Y] Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold, Ann. Sc. Ec. Norm. Sup. Paris 8(1975), 487-507. | Numdam | MR | Zbl
,[Y-L] Estimates of eigenvalues of a compact Riemannian manifold, Proc. Symp. Pure Math. A. M. S., 36 (1980), 205-239. | MR | Zbl
et ,[BU2] A note on the isoperimetric constant, preprint. | MR
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