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20052026
most citedBridging Carrollian and Celestial Holography

166 citations

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20 papers · 1 filter

math.DG2025

A local generalisation of frame bundles

Jérémie Pierard de Maujouy

Frame bundles equipped with a principal connection have their local structure characterised by a 1-form, called the Cartan connection 1-form, which gathers the principal connection…

math.DG2025

Minimal tori in

Marc Soret, Marina Ville

We describe tools for the study of minimal surfaces in ; some are classical (the Gauss maps) and some are newer (the link/braid/writhe at infinity). Then we look for…

math.DG2024

Biharmonic Hypersurfaces in Euclidean Spaces

Hiba Bibi, Marc Soret, Marina Ville

An isometric immersion is biharmonic if , i.e. if , where and are the metric Laplacian and the mean curvature ve…

math.DG2024★ 2 cited

Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds

Jack Borthwick, Yannick Herfray

In this article we discuss how to construct canonical \emph{strong} Carrollian geometries at time/space like infinity of projectively compact Ricci flat Einstein manifolds …

math.DG2023★ 4 cited

Asymptotic symmetries of projectively compact order one Einstein manifolds

Jack Borthwick, Yannick Herfray

We show that the boundary of a projectively compact Einstein manifold of dimension can be extended by a line bundle naturally constructed from the projective compactification.…

math.DG2022★ 4 cited

Spectral asymptotics for sub-Riemannian Laplacians

Yves Colin de Verdìère, Luc Hillairet, Emmanuel Trélat

We study spectral properties of sub-Riemannian Laplacians, which are hypoelliptic operators. The main objective is to obtain quantum ergodicity results, what we have achieved in th…