Author

Yusuke Shiobara

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Preprint Oct 2026

Riemannian Structures on Quotients in Elastic Diffeology via Q-Charts

Following Miyamoto, we consider Q-charts, a class of subductions $\phi\colon X\to Y$ of diffeological spaces along which Blohmann's elasticity descends. We show that the Riemannian apparatus of elastic diffeology---vertical, horizontal and full connections, Riemannian metrics, Levi-Civita connections and geodesics---al...

Yusuke Shiobara · 0 citations

Preprint Aug 2026

On Riemannian Geometry in Elastic Diffeology

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 diffeological spaces, the tangent functor carries a genuine tangent structure in the sense of Cockett and Cruttwell, and we use this to develop R...

Yusuke Shiobara · 1 citation