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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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On spaces of polynomial growth with no conjugate points
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by N. D. Lebedeva
Translated by: the author
St. Petersburg Math. J. 16 (2005), 341-348
DOI: https://doi.org/10.1090/S1061-0022-05-00853-8
Published electronically: March 9, 2005
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Abstract:

The following generalization of the Hopf conjecture is proved: if the fundamental group of an $n$-dimensional compact polyhedral space $M$ without boundary and with no conjugate points has polynomial growth, then there exists a finite covering of $M$ by a flat torus.
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Bibliographic Information
  • N. D. Lebedeva
  • Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191011, Russia
  • Email: lebed@pdmi.ras.ru
  • Received by editor(s): February 18, 2003
  • Published electronically: March 9, 2005
  • Additional Notes: Partially supported by RFBR (grant no. 02-01-00090), by CRDF (grant no. RM1-2381-ST-02), and by SS (grant no. 1914.2003.1).
  • © Copyright 2005 American Mathematical Society
  • Journal: St. Petersburg Math. J. 16 (2005), 341-348
  • MSC (2000): Primary 57N16
  • DOI: https://doi.org/10.1090/S1061-0022-05-00853-8
  • MathSciNet review: 2068342