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Riemannian Structures on Quotients in Elastic Diffeology via Q-Charts

Shiobara, Yusuke
arXiv (All) · Papers
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category-theorydifferential-geometrymetric-geometry
Following Miyamoto, we consider Q-charts, a class of subductions $ϕ\colon X\to Y$ 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 a
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