Classification of diffeomorphisms of $\mathbb S^4$ induced by queternionic Riccati equations with periodic coefficients
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Quaternionic Riccati equation, Möbius map, periodic solutionAbstrakt
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.Pobrania
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2009-06-01
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ŻOŁĄDEK, Henryk. Classification of diffeomorphisms of $\mathbb S^4$ induced by queternionic Riccati equations with periodic coefficients. Topological Methods in Nonlinear Analysis [online]. 1 czerwiec 2009, T. 33, nr 2, s. 205–215. [udostępniono 22.7.2024].
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