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ArticleOriginal scientific text

Title

Prescribing growth type of complete Riemannian manifolds of bounded geometry

Authors 1

Affiliations

  1. Department of Mathematics, Łódź University, Banacha 22, 90-238 Łódź, Poland

Abstract

We describe certain properties of growth types of nondecreasing sequences. We build a complete, connected Riemannian surface of bounded geometry and of a given growth type provided that the type satisfies some natural conditions.

Keywords

ENG
growth type, bounded geometry, foliated manifold, dynamics

Bibliography

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  2. [E] S. Egashira, Expansion growth of foliations, Ann. Fac. Sci. Toulouse 2 (1993), 15-52.
  3. [HH] G. Hector and U. Hirsch, Introduction to the Geometry of Foliations, Part B, Vieweg, 1983.
  4. [KN] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley-Interscience, New York, 1963.
Annales Polonici Mathematici
2000/75/2
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Pages:
167-175
Main language of publication
English
Received
2000-04-27
Published
2000
Exact and natural sciences