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43 papers · 1 filter
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…
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…
A definition of the mass aspect function for weakly regular asymptotically hyperbolic manifolds
Romain Gicquaud, Anna Sakovich
In contrast to the well-known and unambiguous notion of ADM mass for asymptotically Euclidean manifolds, the notion of mass for asymptotically hyperbolic manifolds admits several i…
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…
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 …
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.…