Scholarlink

<p>In this paper we provide a criterion for bi-Lipschitz and differential <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({\mathcal {R}}\)</EquationSource> </InlineEquation>-sufficiency of filtered jets of maps in the context of Newton filtration, taking into account the effect of a singular metric. We adopt a singular metric which is a generalization of another one used by O. M. Abderrahmane in the characterization of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({\mathcal {V}}\)</EquationSource> </InlineEquation>-sufficiency from the Newton filtration point of view.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Bi-Lipschitz and differentiable \({\mathcal {R}}\)-sufficiency of jets via Newton filtration

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年3月30日

查看全文
  • Carlos Humberto Soares Júnior,
  • João Carlos Ferreira Costa,
  • Marcelo José Saia

摘要

In this paper we provide a criterion for bi-Lipschitz and differential \({\mathcal {R}}\) -sufficiency of filtered jets of maps in the context of Newton filtration, taking into account the effect of a singular metric. We adopt a singular metric which is a generalization of another one used by O. M. Abderrahmane in the characterization of \({\mathcal {V}}\) -sufficiency from the Newton filtration point of view.