Sean N. Curry

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math.DG2025

Asymptotic behavior of geodesics in conformally compact manifolds

Sean N. Curry, Achinta Kumar Nandi

We study the asymptotic behavior of geodesics near the boundary of a conformally compact Riemannian manifold $(X, g)$ . In the case where the sectional curvature at infinity is const…

math.DG2025

Conformal submanifolds, distinguished submanifolds, and integrability

Sean. N Curry, A. Rod Gover, Daniel Snell

For conformal geometries of Riemannian signature, we provide a comprehensive and explicit treatment of the core local theory for embedded submanifolds of arbitrary dimension. This…