任意余维的罗丹公式
Rodin's formula in arbitrary codimension
摘要:
本文将$p$的罗丹公式--$\mathbb{R}^n$中曲线族的模推广到任意余维。证明依赖于浸没的水平集族的$p$ -模公式和与所考虑的映射的Jacobi矩阵有关的代数引理。我们列举了适当的例子。
英文摘要:
We extend the Rodin's formula for $p$--modulus of the family of curves in $\mathbb{R}^n$ to arbitrary codimension. The proof relies on the formula for the $p$--modulus of family of level sets of a submersion and an algebraic lemma relating Jacobi matrices of considered maps. We state appropriate examples.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。