双四元数和扭量结构诱导的扩展几何学和运动学
Extended geometry and kinematics induced by biquaternionic and twistor structures
摘要：
双四元数的代数具有明显的洛伦兹不变量形式，并导出了扩展的时空几何。我们考虑这个复杂的前几何和闵可夫斯基时空的真实几何之间的联系。扭量结构自然出现在双四元数分析的框架中。代数结构和扭量结构一起对双四元数值场的奇异点的输运施加了严格的限制。
英文摘要：
The algebra of biquaternions possess a manifestly Lorentz invariant form and induces an extended space-time geometry. We consider the links between this complex pre-geometry and real geometry of the Minkowski space-time. Twistor structures naturally arise in the framework of biquaternionic analysis. Both together, algebraic and twistor structures impose rigid restriction on the transport of singular points of biquaternion-valued fields identified with particle-like formations.
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