Daniela Di Donato, "Intrinsic Lipschitz Sections of no-linear Quotient Maps," WSEAS Transactions on Mathematics, vol. 24, pp. 493-498, 2025, DOI:10.37394/23206.2025.24.48
Daniela Di Donato. Intrinsic Lipschitz Sections of no-linear Quotient Maps.
WSEAS Transactions on Mathematics. 2025;24:493-498. 10.37394/23206.2025.24.48
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Intrinsic Lipschitz Sections of no-linear Quotient Maps
Author:
Abstract: Le Donne and the author introduced the so-called intrinsically Lipschitz sections of a fixed quotient
map π in the context of metric spaces. Moreover, the author introduced the concept of intrinsic Cheeger energy
when the quotient map is also linear. In this note we investigate about the no-linearity of π. In particular, we find
a Leibniz formula for the intrinsic slope when π satisfies a weaker condition. After that, we focus our attention
on Carnot groups and using the properties of intrinsic dilations we show that the dilation of a Lipschitz section is
so too.
Pages: 493-498 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #48 DOI: 10.37394/23206.2025.24.48
×
Citation Tools