Report on M. Gromov's almost flat manifolds

Hermann Karcher

Séminaire Bourbaki (1978-1979)

  • Volume: 21, page 21-35
  • ISSN: 0303-1179

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Karcher, Hermann. "Report on M. Gromov's almost flat manifolds." Séminaire Bourbaki 21 (1978-1979): 21-35. <http://eudml.org/doc/109938>.

@article{Karcher1978-1979,
author = {Karcher, Hermann},
journal = {Séminaire Bourbaki},
keywords = {epsilon-flat; short homotopy class; Gromov's product; almost translational behaviour; nilpotent Lie group},
language = {eng},
pages = {21-35},
publisher = {Springer-Verlag},
title = {Report on M. Gromov's almost flat manifolds},
url = {http://eudml.org/doc/109938},
volume = {21},
year = {1978-1979},
}

TY - JOUR
AU - Karcher, Hermann
TI - Report on M. Gromov's almost flat manifolds
JO - Séminaire Bourbaki
PY - 1978-1979
PB - Springer-Verlag
VL - 21
SP - 21
EP - 35
LA - eng
KW - epsilon-flat; short homotopy class; Gromov's product; almost translational behaviour; nilpotent Lie group
UR - http://eudml.org/doc/109938
ER -

References

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  1. [1] A.D. Alexandrow - Metrische Räume mit einer Krümmung nicht grösser als K , In : Der Begriff des Raumes in der Geometrie, Bericht von der Riemanntagung1957. 
  2. [2] P. Buser und H. Karcher - Diskrete Gruppen und kleine Krümrnung nach Gromoy, to appear. 
  3. [3] J. Cheeger, D. Ebin - Comparison Theorems in Riemannian Geometry, North-HollandMath. Library, New York, 1975. Zbl0309.53035MR458335
  4. [4] K. Grove, H. Karcher, E. Ruh - Finsler Metrics on Compact Lie Groups with an Application to Differentiable Pinching Problems, Math. Ann., 211 (1974), p. 7-21. Zbl0273.53051MR355917
  5. [5] D. Gromoll, W. Klingenberg, W. Meyer - Riemannsche Geometrie im Grossen, Lecture Notes in Math., n° 55, Springer Verlag, Berlin, 1968. Zbl0293.53001MR229177
  6. [6] M. Gromov - Almost Flat Manifolds, Journ. Diff. Geom., to appear. Zbl0432.53020MR540942
  7. [7] M. Gromov - Manifolds of Negative Curvature, to appear. Zbl0433.53028
  8. [8] E. Heintze - Mannigfaltigkeiten negativer Krümmung, Habilitationsschrift, Bonn, 1976. Zbl1032.53024MR1940403
  9. [9] H. Karcher - Riemannian Center of Mass and Mollifier Smoothing, C.P.A.M., Vol. XXX, p. 509-541, 1977. Zbl0354.57005MR442975
  10. [10] S. Kobayashi, K. Nomizu - Foundations of Differential Geometry I, John Wiley and Sons, New York - London, 1963. Zbl0119.37502
  11. [11] A.I. Mal'cev - On a Class of Homogeneous Spaces, Izvestiya Akad. Nauk SSSR, Ser. Mat.13, 9-32 (1949), translated in : Lie groups, AMS Transl. Series 1, vol. 9 (1962). MR28842
  12. [12] J. Wolf - Spaces of Constant Curvature, McGraw-Hill, New York, 1967. Zbl0162.53304MR217740

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