On k-symmetries of hyperbolic spaces

Simone Costa, Silvia Pianta

Research output: Contribution to journalArticlepeer-review


We determine all the possible pointwise k-symmetric spaces of negative constant curvature. In general, such spaces are not k-symmetric. In fact we show that, for all n>= 3, k not 2, H^n is not k-symmetric, i.e., for any set of selected k-symmetries, one for each point of H^n, the regularity condition does not hold.
Original languageEnglish
Pages (from-to)639-642
Number of pages4
JournalDifferential Geometry and its Applications
Publication statusPublished - 2013


  • hyperbolic space
  • k-symmetric space


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