Comparison theorems for compact symmetric spaces

Min-Oo; Ernst A. Ruh

Annales scientifiques de l'École Normale Supérieure (1979)

  • Volume: 12, Issue: 3, page 335-353
  • ISSN: 0012-9593

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Min-Oo, and Ruh, Ernst A.. "Comparison theorems for compact symmetric spaces." Annales scientifiques de l'École Normale Supérieure 12.3 (1979): 335-353. <http://eudml.org/doc/82038>.

@article{Min1979,
author = {Min-Oo, Ruh, Ernst A.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {pinching theorem; simply connected; compact; irreducible symmetric space; principal bundle; Cartan connection; Sobolov norm; exterior derivatives},
language = {eng},
number = {3},
pages = {335-353},
publisher = {Elsevier},
title = {Comparison theorems for compact symmetric spaces},
url = {http://eudml.org/doc/82038},
volume = {12},
year = {1979},
}

TY - JOUR
AU - Min-Oo
AU - Ruh, Ernst A.
TI - Comparison theorems for compact symmetric spaces
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1979
PB - Elsevier
VL - 12
IS - 3
SP - 335
EP - 353
LA - eng
KW - pinching theorem; simply connected; compact; irreducible symmetric space; principal bundle; Cartan connection; Sobolov norm; exterior derivatives
UR - http://eudml.org/doc/82038
ER -

References

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  1. [1] S. AGMON, A. DOUGLIS and L. NIRENBERG, Estimates near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions I (Comm. Pure Appl. Math., Vol. 12, 1959, pp. 623-727). Zbl0093.10401MR23 #A2610
  2. [2] J. CHEEGER, Pinching Theorems for a Certain Class of Riemannian Manifolds (Amer. J. Math., Vol. 91, 1969, pp. 807-834). Zbl0183.50301MR40 #7987
  3. [3] J. CHEEGER, Finiteness Theorems for Riemannian Manifolds (Amer. J. Math., Vol. 92, 1970, pp. 61-74). Zbl0194.52902MR41 #7697
  4. [4] K. GROVE and H. KARCHER, How to Conjugate C1-close Group Actions (Math. Z., Vol. 132, 1973, pp. 11-20). Zbl0245.57016MR50 #8575
  5. [5] K. GROVE, H. KARCHER and E. A. RUH, Group Actions and Curvature (Inventiones Math., Vol. 23, 1974, pp. 31-48). Zbl0271.53044MR52 #6609
  6. [6] H.-C. IM HOF and E. A. RUH, An Equivariant Pinching Theorem (Comment. Math. Helv., Vol. 50, 1975, pp. 389-401). Zbl0317.53043MR52 #6610
  7. [7] H. KARCHER, Riemannian Center of Mass and Mollifier Smoothing (Comm. Pure Appl. Math., Vol. 30, 1977, pp. 509-541). Zbl0354.57005MR56 #1350
  8. [8] MIN-OO, Krümmung und differenzierbare Struktur auf komplex-projektiven Räumen (Bonner Math. Schriften, Vol. 93, 1977). Zbl0359.53015MR57 #1380
  9. [9] C. B. MORREY Jr., Multiple Integrals in the Calculus of Variations (Die Grundlehren der Math. Wiss. in Einzeldarstellungen, Vol. 130, Berlin-Heidelberg-New York, Springer-Verlag, 1966). Zbl0142.38701MR34 #2380
  10. [10] G. STAMPACCHIA, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus (Ann. Inst. Fourier, Grenoble, Vol. 15, fasc. 1, 1965, pp. 189-258). Zbl0151.15401MR33 #404

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