论文标题

Lie组的某些子riemannian指标$ su(2)\ Times \ Mathbb {R} $和$ SO(3)\ Times \ Times \ Mathbb {R} $带有三维生成分布

Geodesics and shortest arcs of some sub-Riemannian metrics on the Lie groups $SU(2)\times\mathbb{R}$ and $SO(3)\times\mathbb{R}$ with three-dimensional generating distributions

论文作者

Zubareva, Irina

论文摘要

我们发现地球学,最短的弧,切割位点,第一个共轭基因座,在Lie组$ SU(2)\ Times \ Times \ MathBb {r} $和$(3)\ times \ times \ MathBb {r} $的剩余次属sub-riemannian指标之间的任意元素之间的距离。

We find geodesics, shortest arcs, cut loci, first conjugate loci, distances between arbitrary elements for some left-invariant sub-Riemannian metrics on the Lie groups $SU(2)\times\mathbb{R}$ and $SO(3)\times\mathbb{R}$.

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