Abstract
The monodromy maps for the quaternionic Riccati equations with periodic coefficients $\dot{z}=zp(t)z+q(t)z+zr(t)+s(t)$ in $\mathbb H\mathbb P^{1}$ are quternionic Möbius transformations. We prove that, like in the case of automorphisms of $\mathbb C\mathbb P^{1}$, the quaternionic homografies are divided into three classes: hyperbolic, elliptic and parabolic.
Citation
Henryk Żołądek. "Classification of diffeomorphisms of $\mathbb S^4$ induced by queternionic Riccati equations with periodic coefficients." Topol. Methods Nonlinear Anal. 33 (2) 205 - 215, 2009.
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