On k-symmetries of hyperbolic spaces

Silvia Pianta, Simone Costa

Research output: Contribution to journalArticlepeer-review

Abstract

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

Keywords

  • hyperbolic space
  • k-symmetric space

Fingerprint

Dive into the research topics of 'On k-symmetries of hyperbolic spaces'. Together they form a unique fingerprint.

Cite this