Un théorème de l'indice relatif

Gilles Carron

Séminaire de théorie spectrale et géométrie (1996-1997)

  • Volume: 15, page 193-202
  • ISSN: 1624-5458

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Carron, Gilles. "Un théorème de l'indice relatif." Séminaire de théorie spectrale et géométrie 15 (1996-1997): 193-202. <http://eudml.org/doc/114408>.

@article{Carron1996-1997,
author = {Carron, Gilles},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {survey; index; relative index; Dirac operators; non-parabolic at infinity},
language = {fre},
pages = {193-202},
publisher = {Institut Fourier},
title = {Un théorème de l'indice relatif},
url = {http://eudml.org/doc/114408},
volume = {15},
year = {1996-1997},
}

TY - JOUR
AU - Carron, Gilles
TI - Un théorème de l'indice relatif
JO - Séminaire de théorie spectrale et géométrie
PY - 1996-1997
PB - Institut Fourier
VL - 15
SP - 193
EP - 202
LA - fre
KW - survey; index; relative index; Dirac operators; non-parabolic at infinity
UR - http://eudml.org/doc/114408
ER -

References

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  1. [A] A. ANCONA. - Théorie du potentiel sur des graphes et des variétés, Lectures Notes n° 1427, 1990. Zbl0719.60074MR1100282
  2. [An] N. ANGHEL. - An abstract index theorem on non-compact riemannian manifolds, Houston J. Math. 19:2 ( 1993), 223-237. Zbl0790.58040MR1225459
  3. [A-P-S] M.F. ATIYAH, V.K. PATODI, I.M. SINGER. - Spectral asymmetry and Riemannian geometry l, Math. Proc. Camb. Phil. Soc.77 ( 1975). 43-69. Zbl0297.58008MR397797
  4. [B-M-S] N.V. BORISOV, W. MÜLLER, R. SCHRADER. - Relative index theorems and supersymmetric scattering theory, Comm. math. Phys. 114 ( 1988), 475-513. Zbl0663.58032MR929141
  5. [B] U. BUNKE. - Relative Index theory, J. Funct. Anal. 105 ( 1992), 63-76. Zbl0762.58026MR1156670
  6. [C1] G. CARRON. - L2 -cohomologie et inégalités de Sobolev, prépublication n° 306 de l'institut J.Fourier, 1994. 
  7. [C2] G. CARRON. - Une suite exacte en L2-cohomologie, prépublication n° 174 de l'ENS Lyon., 1995. MR1721304
  8. [C3] G. CARRON. - Inégalités de Sobolev-Orlicz non-uniforme, prépublication n° 195 de l'E.N.S. Lyon, 1996. 
  9. [c4] G. CARRON. - Un théorème de l'indice relatif, prépublication n° 196 de l'E.N.S. Lyon, 1996. 
  10. [G-L] M. GROMOV, H.B. LAWSON JR. - Positive scalar curvature and the Dirac operator on a complete Riemannian manifold, Publ. Math. I.H.E.S. 58 ( 1983), 83-196. Zbl0538.53047
  11. [D] H. DONNELY. - Essential spectrum and heat kernel, J. Funct. Anal. 75 ( 1987), 362-381. Zbl0634.58031MR916757
  12. [H-S] D. HOFFMAN, J. SPRUCK. - Sobolev and isoperimetric inequalities for Riemannian submanifolds, Comm. Pure Appl. Math. 27 ( 1974), 7156-727. Zbl0295.53025MR365424
  13. [S] M.A. STERN. - L2 -index theorem on warped-products, thèse, Princeton Univ., 1984. 

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