Abstract
The stamping deformation was defined by Apanasov as the first example of a deformation of the flat conformal structure on a hyperbolic 3-orbifold distinct from bending. We show that in fact the stamping cocycle is equal to the sum of three bending cocycles. We also obtain a more general result, showing that derivatives of geodesic lengths vanish at the base representation under deformations of the flat conformal structure of a finite-volume hyperbolic 3-orbifold.
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Bart, A., Scannell, K.P. A note on stamping. Geom Dedicata 126, 283–291 (2007). https://doi.org/10.1007/s10711-006-9091-y
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DOI: https://doi.org/10.1007/s10711-006-9091-y