@article{TSG_1994-1995__13__171_0, author = {Gilles Carron}, title = {In\'egalit\'es de {Sobolev} et $L^2$-cohomologie}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {171--176}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {13}, year = {1994-1995}, doi = {10.5802/tsg.161}, zbl = {0937.58500}, mrnumber = {1715966}, language = {fr}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.161/} }
TY - JOUR AU - Gilles Carron TI - Inégalités de Sobolev et $L^2$-cohomologie JO - Séminaire de théorie spectrale et géométrie PY - 1994-1995 SP - 171 EP - 176 VL - 13 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.161/ DO - 10.5802/tsg.161 LA - fr ID - TSG_1994-1995__13__171_0 ER -
%0 Journal Article %A Gilles Carron %T Inégalités de Sobolev et $L^2$-cohomologie %J Séminaire de théorie spectrale et géométrie %D 1994-1995 %P 171-176 %V 13 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.161/ %R 10.5802/tsg.161 %G fr %F TSG_1994-1995__13__171_0
Gilles Carron. Inégalités de Sobolev et $L^2$-cohomologie. Séminaire de théorie spectrale et géométrie, Tome 13 (1994-1995), pp. 171-176. doi : 10.5802/tsg.161. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.161/
[At] M.F. Atiyah. _ Elliptic operators, discrete groups and von Neumann algebras, Soc. Math. France, Astérisque 32, 33 ( 1976), 43-72. | MR | Zbl
[Br] J. Brüning. _ L2-index theorems on a certain complete manifold, J. Differential Geometry 32 ( 1990),491-532. | MR | Zbl
[C] G. Carron. _ L2-cohomologie et inégalités de Sobolev, Prépublication de l'Institut Fourier n° 306, Grenoble, 1995.
[C-G1] J. Cheeger, M. Gromov. _ On the characteristics numbers of complete manifolds of bounded curvature and finite volume, Rauch memorial volume, Differential Geometry and Complex analysis, I. Chavel and H.M. Farkas.Springer, Berlin, p. 115,154, 1985. | MR | Zbl
[C-G2] J. Cheeger, M. Gromov. _ Bounds of the Von Neumann dimension of L2-cohomology and the Gauss-Bonnet theorem for open manifolds, J. Differential Geometry 21 ( 1985), 1-34. | MR | Zbl
[Do] J. Dodziuk. _ De Rham-Hodge theory for L2 cohomology of infinite covering, Topology 16 ( 1977), 157-165. | MR | Zbl
[D-X] H. Donnely, F. Xavier. _ On the differential form spectrum of negatively curved Riemannian manifold, Amer. J. Math. 106 ( 1984), 169-185. | MR | Zbl
[E-R] K.D. Elworthy, S. Rosenberg. _ Manifofds with wells of negative curvature, Invent. Math. 103 ( 1991), 471-495. | MR | Zbl
[E-F] J.S. Escobar, A. Freire. _ The differential form spectrum of manifold of positive curvature, Duke J. Math. 69 ( 1993). 1-42. | MR | Zbl
[G-W] R. Greene, H.H. Wu. _ Harmonics forms on noncompact Riemannian and Kähler manifolds, Michigan Math. J. 28 ( 1981), 63-81. | MR | Zbl
[M] W. Müller. _ Manifold with cusps of ranh one, Spectral theory and L2 index theorem, L.N. in Math na 1244, Springer-Verlag, 1987. | MR | Zbl
[R1] J. Roe. _ An index theorem on open manifolds I, II, J. Differential Geometry 27 ( 1988), 87-113, 115-136. | MR | Zbl
[R2] J. Roe. _ Coarse cohomology and index theory on complete Manifolds, Memoirs of the A.M.S.vol 104, na 497, 1993. | MR | Zbl
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