Subriemannian geodesics of Carnot groups of step 3
Subriemannian geodesics of Carnot groups of step 3
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DOI：
10.1051/cocv/2012006
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发表时间：
2011-05
期刊：
影响因子：
--
通讯作者：
Kanghai Tan;Xiaoping Yang
中科院分区：
文献类型：
--
作者：
Kanghai Tan;Xiaoping Yang
在步骤≤ 3 的卡诺群中，所有的亚布里曼测地线都被证明是正规的。证明基于归约论证和奇异曲线极小性的 Goh 条件。 Goh 条件是从端点映射的重新表述和微积分中推导出来的，归结为卡诺群的分级结构。
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The proof is based on a reduction argument and the Goh condition for minimality of singular curves. The Goh condition is deduced from a reformulation and a calculus of the end-point mapping which boils down to the graded structures of Carnot groups.