Harmonic deformation of planar curves.
The Poisson integral for a ball in spaces of constant curvature
We present explicit expressions of the Poisson kernels for geodesic balls in the higher dimensional spheres and real hyperbolic spaces. As a consequence, the Dirichlet problem for the projective space is explicitly solved. Comparison of different expressions for the same Poisson kernel lead to interesting identities concerning special functions.
Harmonic deformability of planar curves
We study the formerly established concept of deformation of a planar curve and clarify its applicability and range. We present several applications on classical curves.
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