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.
|Number of pages||4|
|Journal||Differential Geometry and its Applications|
|Publication status||Published - 2013|
- hyperbolic space
- k-symmetric space