Convergence of riemannian manifolds with integral bounds on curvature. II

Deane Yang

Annales scientifiques de l'École Normale Supérieure (1992)

  • Volume: 25, Issue: 2, page 179-199
  • ISSN: 0012-9593

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Yang, Deane. "Convergence of riemannian manifolds with integral bounds on curvature. II." Annales scientifiques de l'École Normale Supérieure 25.2 (1992): 179-199. <http://eudml.org/doc/82316>.

@article{Yang1992,
author = {Yang, Deane},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {local Ricci flow; harmonic coordinates; integral curvature bounds; elliptic estimates; Moser iteration},
language = {eng},
number = {2},
pages = {179-199},
publisher = {Elsevier},
title = {Convergence of riemannian manifolds with integral bounds on curvature. II},
url = {http://eudml.org/doc/82316},
volume = {25},
year = {1992},
}

TY - JOUR
AU - Yang, Deane
TI - Convergence of riemannian manifolds with integral bounds on curvature. II
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1992
PB - Elsevier
VL - 25
IS - 2
SP - 179
EP - 199
LA - eng
KW - local Ricci flow; harmonic coordinates; integral curvature bounds; elliptic estimates; Moser iteration
UR - http://eudml.org/doc/82316
ER -

References

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  1. [1] M. T. ANDERSON, Convergence and Rigidity of Manifolds under Ricci Curvature Bounds (Invent. Math., Vol. 102, 1990, pp. 429-445). Zbl0711.53038MR92c:53024
  2. [2] M. T. ANDERSON and J. CHEEGER, Diffeomorphism Finiteness for Manifolds with Ricci Curvature and Ln/²-Norm of Curvature Bounded, preprint, 1990. 
  3. [3] I. CHAVEL, Eigenvalues in Riemannian Geometry, Academic Press, 1984. Zbl0551.53001MR86g:58140
  4. [4] L. ZHIYONG GAO, Convergence of Riemannian Manifolds, Ricci Pinching, and Ln/²-Curvature Pinching, (J. Diff. Geometry, Vol. 32, 1990, pp. 349-382). Zbl0752.53022
  5. [5] L. ZHIYONG GAO, Ln/2-Curvature Pinching, (J. Diff. Geometry, Vol. 32, 1990, pp. 713-774). Zbl0721.53039
  6. [6] D. GILBARG and N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, 1977. Zbl0361.35003MR57 #13109
  7. [7] J. JOST, Harmonic Maps between Riemannian Manifolds, Australian National University, 1984. 
  8. [8] J. JOST and H. KARCHER, Geometrische Methoden zur Gewinnung von a-priori-Schranken für harmonische Abbildungen (Manuscripta Math., Vol. 40, 1982, pp. 27-77). Zbl0502.53036MR84e:58023
  9. [9] M. MIN-OO and E. RUH, L²-Curvature Pinching, (Comment. Math. Helvet., Vol. 65, 1990, pp. 36-51). Zbl0704.53031MR91d:53060
  10. [10] E. M. STEIN, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. Zbl0207.13501MR44 #7280
  11. [11] D. YANG, Convergence of Riemannian Manifolds with Integral Bounds on Curvature I (Ann. scient. Éc. Norm. Sup., Vol. 25, 1992, pp. 77-105). Zbl0748.53025MR93a:53037

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