7 citations · 18 across the 7 of their papers we have counts for
5 papers · 1 filter
Some global properties of umbilic points of Willmore immersions in the -sphere
Nicolas Marque, Dorian Martino
We study the umbilic points of Willmore surfaces in codimension 1 from the viewpoint of the conformal Gauss map. We first study the local behaviour of the conformal Gauss map near…
Rigidity Theorems for Asymptotically Euclidean -singular Spaces
Rodrigo Avalos, Paul Laurain, Nicolas Marque
In this paper we prove some rigidity theorems associated to -curvature analysis on asymptotically Euclidean (AE) manifolds, which are inspired by the analysis of conservation pr…
Energy in Fourth Order Gravity
Rodrigo Avalos, Jorge H. Lira, Nicolas Marque
In this paper we make a detailed analysis of conservation principles in the context of a family of fourth-order gravitational theories generated via a quadratic Lagrangian. In part…
Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications
Yann Bernard, Paul Laurain, Nicolas Marque
We prove an -regularity result for the tracefree curvature of a Willmore surface with bounded second fundamental form. For such a surface, we obtain a pointwise control of the t…
Conformal Gauss Map Geometry and Application to Willmore Surfaces in Model Spaces
Nicolas Marque
In this paper we make a detailed and self-contained study of the conformalGauss map. Then, starting from the seminal work of R. Bryant and the notion of conformal Gauss map, we rec…