19 citations · 49 across the 15 of their papers we have counts for
16 papers
Spinorial representation of submanifolds in a product of space forms
Alicia Basilio, Pierre Bayard, Marie-Amélie Lawn +1
We present a method giving a spinorial characterization of an immersion in a product of spaces of constant curvature. As a first application we obtain a proof using spinors of the…
Entire downward solitons to the scalar curvature flow in Minkowski space
Pierre Bayard
Existence and uniqueness in Minkowski space of entire downward translating solitons with prescribed values at infinity for a scalar curvature flow equation. The radial case transla…
Constant angle surfaces in 4-dimensional Minkowski space
Pierre Bayard, Juan Monterde, Raúl C. Volpe
We first define a complex angle between two oriented spacelike planes in 4-dimensional Minkowski space, and then study the constant angle surfaces in that space, i.e. the oriented…
Spinorial representation of submanifolds in metric Lie groups
Pierre Bayard, Julien Roth, Berenice Zavala Jiménez
In this paper we give a spinorial representation of submanifolds of any dimension and codimension into Lie groups equipped with left invariant metrics. As applications, we get a sp…
On the affine Gauss maps of submanifolds of Euclidean space
Henri Anciaux, Pierre Bayard
It is well known that the space of oriented lines of Euclidean space has a natural symplectic structure. Moreover, given an immersed, oriented hypersurface S the set of oriented li…
On Lorentzian surfaces in
Pierre Bayard, Victor Patty, Federico Sánchez-Bringas
We study the second order invariants of a Lorentzian surface in and the curvature hyperbolas associated to its second fundamental form. Besides the four natural…