L p pinching and compactness theorems for compact riemannian manifolds

Deane Yang

Séminaire de théorie spectrale et géométrie (1987-1988)

  • Volume: 6, page 81-89
  • ISSN: 1624-5458

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Yang, Deane. "$L^p$ pinching and compactness theorems for compact riemannian manifolds." Séminaire de théorie spectrale et géométrie 6 (1987-1988): 81-89. <http://eudml.org/doc/114283>.

@article{Yang1987-1988,
author = {Yang, Deane},
journal = {Séminaire de théorie spectrale et géométrie},
keywords = {curvature bounds; heat equation; smoothing of a Riemannian metric; pinching theorems; compactness theorems},
language = {eng},
pages = {81-89},
publisher = {Institut Fourier},
title = {$L^p$ pinching and compactness theorems for compact riemannian manifolds},
url = {http://eudml.org/doc/114283},
volume = {6},
year = {1987-1988},
}

TY - JOUR
AU - Yang, Deane
TI - $L^p$ pinching and compactness theorems for compact riemannian manifolds
JO - Séminaire de théorie spectrale et géométrie
PY - 1987-1988
PB - Institut Fourier
VL - 6
SP - 81
EP - 89
LA - eng
KW - curvature bounds; heat equation; smoothing of a Riemannian metric; pinching theorems; compactness theorems
UR - http://eudml.org/doc/114283
ER -

References

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  1. [BK] BUSER P., KARCHER H. - Gromov's almost flat manifolds, Astérisque 81, 1981. Zbl0459.53031MR619537
  2. [CE] CHEEGER J. EBIN D.G. - Comparison Theorems in Riemannian Geometry, New York : American-Elsevier, 1975. Zbl0309.53035MR458335
  3. [C] CROKE C. - Some isoperimetric inequalities and eigenvalue estimates, Ann. scient. Éc. Norm. Sup., 13 ( 1980), 419-435. Zbl0465.53032MR608287
  4. [G1] GAO L.Z. - Einstein manifolds I, preprint. 
  5. [G2] GAO L.Z. - Ln/2 curvature pinching, preprint 
  6. [G3] GAO L.Z. - Convergence of Riemannian manifolds, Ricci pinching, and Ln/2-curvature pinching, preprint. Zbl0752.53022
  7. [GW] GREENE R.E., WU H. - Lipschitz convergence of Riemannian manifolds, Pacific J. Math. Zbl0646.53038MR917868
  8. [GLP] GROMOV M., LA FONTAINE J., PANSU P. - Structures métriques pour les variétés riemanniennes, Paris, Cedic, 1981. Zbl0509.53034MR682063
  9. [H] HAMILTON R.S. - Three-manifolds with positive Ricci curvature, J. Diff. Geom., 17 ( 1982), 255-306. Zbl0504.53034MR664497
  10. [M] MIN - Oo. - Almost Einstein manifolds of negative Ricci curvature, preprint Zbl0725.53050MR1072914
  11. [P1] PETERS S. - Cheeger1's finiteness theorem for diffeomorphism classes of Riemannian manifolds, J. für die reine und angewandte Mathematik, 349 ( 1984), 77-82. Zbl0524.53025MR743966
  12. [P2] PETERS S. - Convergence of Riemannian manifolds, Compositio Math. Zbl0618.53036MR892147

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