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3 results

  • ANOSOV AUTOMORPHISMS ON CERTAIN CLASSES OF NILMANIFOLDS

  • MEERA G. MAINKAR
  • Journal:
    Glasgow Mathematical Journal / Volume 48 / Issue 1 / January 2006
    Published online by Cambridge University Press:
    24 March 2006, pp. 161-170
    Print publication:
    January 2006
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  • We give a necessary and sufficient condition for $k$-step nilmanifolds associated with graphs $(k \geq 3)$ to admit Anosov automorphisms. We also prove the nonexistence of Anosov automorphisms on certain classes of 2-step and 3-step nilmanifolds.

  • ANOSOV DIFFEOMORPHISMS ON A CLASS OF 2-STEP NILMANIFOLDS

  • KAREL DEKIMPE, SANDRA DESCHAMPS
  • Journal:
    Glasgow Mathematical Journal / Volume 45 / Issue 2 / May 2003
    Published online by Cambridge University Press:
    31 July 2003, pp. 269-280
    Print publication:
    May 2003
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  • In this paper we study nilmanifolds which are modeled on a quotient of a free 2-step nilpotent Lie group by a 1-dimensional subgroup. In fact we obtain a very easy criterion to decide whether or not such a nilmanifold admits an Anosov diffeomorphism.