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 ≠ 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.
On k-symmetries of hyperbolic spaces
Costa S.;Pianta S.
2013-01-01
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 ≠ 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.File in questo prodotto:
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