Add to ORKGAbstract. Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski spacetime for hypersurfaces of a Lorentzian manifold. Our approach encompasses metrics having Sobolev regularity and Riemann curvature defined in the distributional sense, only. It applies to timelike, spacelike, or null hypersurfaces with arbitrary signature that possibly changes from point to point
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framewor...
In this paper we locally classify the surfaces M2s in the 3-dimensional Lorentz-Minkowski space L3 v...
In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immerse...
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding iso...
AbstractIn this work we first study spacelike surfaces in the Minkowski space which are minimal or h...
Let (M, g) be an (n+1) dimensional space-time, with bounded curvature with respect to a bounded fram...
In this paper we study isometries of ruled surfaces in the Lorentz-Minkowski space that preserve rul...
In this thesis we study several aspects of the geometry of conformally stationary Lorentz manifolds ...
17 pagesWe give a necessary and sufficient condition for an $n$-dimensional Riemannian manifold to b...
Abstract Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersu...
In 1981, Nomizu introduced isoparametric hypersurfaces in Lorentzian space forms and studied the Car...
It is well-known that the only minimal Lagrangian submanifolds of constant sectional curvature $c$ i...
We give examples of Lorentz manifolds modelled on an indecomposable Lorentz symmetric space which ar...
In dieser Arbeit werden semi-Riemannsche und Lorentzsche Mannigfaltigkeiten versehen mit Metriken ni...
International audienceFollowing Geroch, Traschen, Mars and Senovilla, we consider Lorentzian manifol...
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framewor...
In this paper we locally classify the surfaces M2s in the 3-dimensional Lorentz-Minkowski space L3 v...
In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immerse...
Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding iso...
AbstractIn this work we first study spacelike surfaces in the Minkowski space which are minimal or h...
Let (M, g) be an (n+1) dimensional space-time, with bounded curvature with respect to a bounded fram...
In this paper we study isometries of ruled surfaces in the Lorentz-Minkowski space that preserve rul...
In this thesis we study several aspects of the geometry of conformally stationary Lorentz manifolds ...
17 pagesWe give a necessary and sufficient condition for an $n$-dimensional Riemannian manifold to b...
Abstract Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersu...
In 1981, Nomizu introduced isoparametric hypersurfaces in Lorentzian space forms and studied the Car...
It is well-known that the only minimal Lagrangian submanifolds of constant sectional curvature $c$ i...
We give examples of Lorentz manifolds modelled on an indecomposable Lorentz symmetric space which ar...
In dieser Arbeit werden semi-Riemannsche und Lorentzsche Mannigfaltigkeiten versehen mit Metriken ni...
International audienceFollowing Geroch, Traschen, Mars and Senovilla, we consider Lorentzian manifol...
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framewor...
In this paper we locally classify the surfaces M2s in the 3-dimensional Lorentz-Minkowski space L3 v...
In this paper we develop general Minkowski-type formulae for compact spacelike hypersurfaces immerse...