Une caractérisation spectrale des nilvariétés

Bruno Colbois

Séminaire de théorie spectrale et géométrie (1999-2000)

  • Volume: 18, page 65-67
  • ISSN: 1624-5458

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Colbois, Bruno. "Une caractérisation spectrale des nilvariétés." Séminaire de théorie spectrale et géométrie 18 (1999-2000): 65-67. <http://eudml.org/doc/114450>.

@article{Colbois1999-2000,
author = {Colbois, Bruno},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {spectrum; Laplace operator; nilmanifolds; almost flat manifolds; small eigenvalues},
language = {fre},
pages = {65-67},
publisher = {Institut Fourier},
title = {Une caractérisation spectrale des nilvariétés},
url = {http://eudml.org/doc/114450},
volume = {18},
year = {1999-2000},
}

TY - JOUR
AU - Colbois, Bruno
TI - Une caractérisation spectrale des nilvariétés
JO - Séminaire de théorie spectrale et géométrie
PY - 1999-2000
PB - Institut Fourier
VL - 18
SP - 65
EP - 67
LA - fre
KW - spectrum; Laplace operator; nilmanifolds; almost flat manifolds; small eigenvalues
UR - http://eudml.org/doc/114450
ER -

References

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  2. [ACGR] E. AUBRY, B. COLBOIS, R. GHANAAT, E. RUH. - En préparation,. 
  3. [An] M.T. ANDERSON. - Hausdorff perturbations of Ricci-flat manifolds and the splitting theorem, Duke Math. J.68 ( 1992), 67-82. Zbl0767.53029MR1185818
  4. [CC] J. CHEEGER, T.H. COLDING. - On the structure of spaces with Ricci curvature bounded below, I, J. Differential Geom. 45 ( 1997), 406-480. Zbl0902.53034MR1484888
  5. [CGR1] B. COLBOIS. P. GHANAAT, EA RUH. - Curvature and gradient estimates for eigenforms of the Laplacean, Preprintreihe der Fakultät für Mathematik Nr. 1999/17, Universität Karlsruhe, 1999. 
  6. [CGR2] B. COLBOIS, R. GHANAAT, E.A. RUH. - Curvature and a spectral characterization of nilmanifolds, Forschungsinstitut für Mathematik, ETHZ, Prépublication, 2000. Zbl1026.58021
  7. [GHL] S. GALLOT, D. HULIN, J. LAFONTAINE. - Riemannian geometry, Springer Verlag, 1987. Zbl0636.53001MR909697
  8. [Gh] RGHANAAT. - Almost Lie groups of type Rn, J. Reine Angew. Math. 401 ( 1989), 60-81. Zbl0672.22008MR1018053
  9. [GM] S. GALLOT, D. MEYER. - D'un résultat hilbertien à un principe de comparaison entre spectre et applications, Ann. Scient. Éc. Norm. Sup. 4ème série 21 ( 1988), 561-591. Zbl0722.53037MR982334
  10. [LCR] M. LE COUTURIER, G. ROBERT. - Lp-pinching and the geometry of compact riemannian manifolds, Comment. Math. Helv. 69 ( 1994), 249-271. Zbl0821.53033MR1282370

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