The isometry groups of riemannian manifolds admitting strictly convex functions

Takao Yamaguchi

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 1, page 205-212
  • ISSN: 0012-9593

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Yamaguchi, Takao. "The isometry groups of riemannian manifolds admitting strictly convex functions." Annales scientifiques de l'École Normale Supérieure 15.1 (1982): 205-212. <http://eudml.org/doc/82093>.

@article{Yamaguchi1982,
author = {Yamaguchi, Takao},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {convex functions; isometry groups; common fixed point},
language = {eng},
number = {1},
pages = {205-212},
publisher = {Elsevier},
title = {The isometry groups of riemannian manifolds admitting strictly convex functions},
url = {http://eudml.org/doc/82093},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Yamaguchi, Takao
TI - The isometry groups of riemannian manifolds admitting strictly convex functions
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 1
SP - 205
EP - 212
LA - eng
KW - convex functions; isometry groups; common fixed point
UR - http://eudml.org/doc/82093
ER -

References

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  1. [1] R. L. BISHOP and B. O'NEILL, Manifolds of Negative Curvature (Trans. Amer. Math. Soc., Vol. 145, 1969, p. 1-49). Zbl0191.52002MR40 #4891
  2. [2] J. CHEEGER and D. G. EBIN, Comparison Theorems in Riemannian Geometry, North-Holland, 1975. Zbl0309.53035MR56 #16538
  3. [3] J. CHEEGER and D. GROMOLL, On the Structure of Complete Manifolds of Nonnegative Curvature (Ann. of Math., Vol. 96, 1972, p. 415-443). Zbl0246.53049MR46 #8121
  4. [4] R. E. GREENE and K. SHIOHAMA, Convex Functions on Complete Noncompact Manifolds ; Topological Structure, (Inventiones Math., Vol. 63, 1981, p. 129-157). Zbl0468.53033MR82e:53065
  5. [5] D. GROMOLL and W. MEYER, On Complete Open Manifolds of Positive Curvature (Ann. of Math., Vol. 90, 1969, p. 75-90). Zbl0191.19904MR40 #854
  6. [6] S. HELGASON, Differential Geometry, Lie Groups and Symmetric Spaces, Academic press, 1978. Zbl0451.53038MR80k:53081
  7. [7] R. T. ROCKAFELLAR, Convex Analysis, Princeton U.P., 1970. Zbl0193.18401MR43 #445
  8. [8] K. SHIGA, Notes on Complete Noncompact Riemannian Manifolds with Convex Exaustion Functions (Hokkaido Math. J., Vol. 11, 1982, p. 55-61). Zbl0488.53030MR83m:53065
  9. [9] S. T. YAU, Remarks on the Group of Isometries on a Riemannian Manifold (Topology, Vol. 16, 1977, p. 239-247). Zbl0372.53020MR56 #6686

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