Abstract
We study quakebend deformations in complex hyperbolic quasi-Fuchsian space QC.U/ of a closed surface U of genus g> 1, that is the space of discrete, faithful, totally loxodromic and geometrically finite representations of the fundamental group of U into the group of isometries of complex hyperbolic space. Emanating from an R‐Fuchsian point 2QC.U/, we construct curves associated to complex hyperbolic quakebending of and we prove that we may always find an open neighborhood U./ of in QC.U/ containing pieces of such curves. Moreover, we present generalisations of the well known Wolpert‐Kerckhoff formulae for the derivatives of geodesic length function in Teichmuller space. 32G05; 32M05
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