26 citations · 65 across the 15 of their papers we have counts for
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math.DG2018★ 13 cited
Singular points of the Wigner caustic and affine equidistants of planar curves
W. Domitrz, M. Zwierzyński
In this paper we study singular points of the Wigner caustic and affine --equidistants of planar curves based on shapes of these curves. We generalize the Blaschke-Süss theorem…
math.DG2018★ 1 cited
The Geometry of the Secant Caustic of a Planar Curve
W. Domitrz, M. C. Romero Fuster, M. Zwierzyński
The secant caustic of a planar curve is the image of the singular set of the secant map of . We analyse the geometrical properties of the secant caustic of a planar curve, i…
math.DG2018★ 12 cited
The Gauss-Bonnet Theorem for coherent tangent bundles over surfaces with boundary and its applications
Wojciech Domitrz, Michał Zwierzyński
In [31,32,33] the Gauss-Bonnet formulas for coherent tangent bundles over compact oriented surfaces (without boundary) were proved. We establish the Gauss-Bonnet theorem for cohere…