A note on the Slicing of $(k+1)$-Currents in the Heisenberg Group $\mathbb{H}^n$ in the case $k=n$
This paper aims to expand on the open case $k=n$ regarding Proposition 3.6[1] and hopefully foster curiosity for its resolution.
math.DG↗
arXiv subjects
Colleen Ackermann
Publications and source records attributed to Colleen Ackermann.
Equilateral triangle skew condition for quasiconformality
We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles.
math.CV↗
An Approach to Studying Quasiconformal Mappings on Generalized Grushin Planes
We demonstrate that the complex plane and a class of generalized Grushin planes $G_r$, where $r$ is a function satisfying specific requirements, are quasisymmetrically equivalent. Then using conjugation we are able to develop an analytic definition of quasisymmetry for homeomorphisms on $G_r$ spaces. In the last section we show our analytic definition of quasisymmetry is consistent with earlier notions of conformal mappings on the Grushin plane. This leads to several characterizations of conformal mappings on the generalized Grushin planes.
math.CV↗