Inégalités de Sobolev et L 2 -cohomologie

Gilles Carron

Séminaire de théorie spectrale et géométrie (1994-1995)

  • Volume: 13, page 171-176
  • ISSN: 1624-5458

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Carron, Gilles. "Inégalités de Sobolev et $L^2$-cohomologie." Séminaire de théorie spectrale et géométrie 13 (1994-1995): 171-176. <http://eudml.org/doc/114377>.

@article{Carron1994-1995,
author = {Carron, Gilles},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {noncompact Riemannian manifold},
language = {fre},
pages = {171-176},
publisher = {Institut Fourier},
title = {Inégalités de Sobolev et $L^2$-cohomologie},
url = {http://eudml.org/doc/114377},
volume = {13},
year = {1994-1995},
}

TY - JOUR
AU - Carron, Gilles
TI - Inégalités de Sobolev et $L^2$-cohomologie
JO - Séminaire de théorie spectrale et géométrie
PY - 1994-1995
PB - Institut Fourier
VL - 13
SP - 171
EP - 176
LA - fre
KW - noncompact Riemannian manifold
UR - http://eudml.org/doc/114377
ER -

References

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  2. [Br] J. BRÜNING. _ L2-index theorems on a certain complete manifold, J. Differential Geometry 32 ( 1990),491-532. Zbl0722.58043MR1072916
  3. [C] G. CARRON. _ L2-cohomologie et inégalités de Sobolev, Prépublication de l'Institut Fourier n° 306, Grenoble, 1995. 
  4. [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. Zbl0592.53036MR780040
  5. [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. Zbl0614.53034MR806699
  6. [Do] J. DODZIUK. _ De Rham-Hodge theory for L2 cohomology of infinite covering, Topology 16 ( 1977), 157-165. Zbl0348.58001MR445560
  7. [D-X] H. DONNELY, F. XAVIER. _ On the differential form spectrum of negatively curved Riemannian manifold, Amer. J. Math. 106 ( 1984), 169-185. Zbl0547.58034MR729759
  8. [E-R] K.D. ELWORTHY, S. ROSENBERG. _ Manifofds with wells of negative curvature, Invent. Math. 103 ( 1991), 471-495. Zbl0722.53033MR1091615
  9. [E-F] J.S. ESCOBAR, A. FREIRE. _ The differential form spectrum of manifold of positive curvature, Duke J. Math. 69 ( 1993). 1-42. Zbl0791.53046MR1201689
  10. [G-W] R. GREENE, H.H. WU. _ Harmonics forms on noncompact Riemannian and Kähler manifolds, Michigan Math. J. 28 ( 1981), 63-81. Zbl0477.53058MR600415
  11. [M] W. MÜLLER. _ Manifold with cusps of ranh one, Spectral theory and L2 index theorem, L.N. in Math na 1244, Springer-Verlag, 1987. Zbl0632.58001MR891654
  12. [R1] J. ROE. _ An index theorem on open manifolds I, II, J. Differential Geometry 27 ( 1988), 87-113, 115-136. Zbl0657.58041MR918459
  13. [R2] J. ROE. _ Coarse cohomology and index theory on complete Manifolds, Memoirs of the A.M.S.vol 104, na 497, 1993. Zbl0780.58043MR1147350

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