论文标题

高阶GOH条件的奇异极端核心1

Higher order Goh conditions for singular extremals of corank 1

论文作者

Boarotto, Francesco, Monti, Roberto, Socionovo, Alessandro

论文摘要

我们证明,在严格的奇异长度最小化Corank 1的情况下,我们证明了n级n的条件,假设端点图的较低顺序固有差分消失了。该结果依赖于具有非单个n差速器的地图的开放映射定理的证明。

We prove Goh conditions of order n for strictly singular length minimizing curves of corank 1, under the assumption that the lower order intrinsic differentials of the end-point map vanish. This result relies upon the proof of an open mapping theorem for maps with non-singular nth differential.

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