3 papers
math.DG2026
Riemannian Structures on Quotients in Elastic Diffeology via Q-Charts
Yusuke Shiobara
Following Miyamoto, we consider Q-charts, a class of subductions of diffeological spaces along which Blohmann's elasticity descends. We show that the Riemannian ap…
math.DG2026
On Riemannian Geometry in Elastic Diffeology
Yusuke Shiobara
Several inequivalent notions of tangent space exist for diffeological spaces, which has hindered the development of Riemannian geometry in this setting. On Blohmann's elastic diffe…
math.DG2025
Towards Riemannian diffeology
Katsuhiko Kuribayashi, Keiichi Sakai, Yusuke Shiobara
We introduce a framework for Riemannian diffeology. To this end, we use the tangent functor in the sense of Blohmann and one of the options of a metric on a diffeological space in…