Rodin's formula in arbitrary codimension

Malgorzata Ciska-Niedzialomska, Kamil Niedzialomski
2019 Annales Academiae Scientiarum Fennicae: Mathematica  
We extend the Rodin's formula for p-modulus of the family of curves in 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. https://doi.org/10.5186/aasfm.2019.4407 2010 Mathematics Subject Classification: Primary 26B15, 28A75, 26B10.
doi:10.5186/aasfm.2019.4407 fatcat:cy7utznelzaufc4y7v6ci5o2wq