Harmonic deformation of planar curves.
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.
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.
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