Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Seppi, Andrea"'
Autor:
Bayard, Pierre, Seppi, Andrea
We show that every regular domain $\mathcal D$ in Minkowski space $\mathbb R^{n,1}$ which is not a wedge admits an entire hypersurface whose domain of dependence is $\mathcal D$ and whose scalar curvature is a prescribed constant (or function, under
Externí odkaz:
http://arxiv.org/abs/2408.10042
We prove several results on the number of solutions to the asymptotic Plateau problem in $\mathbb H^3$. Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve $\Lambda$ in the asymptotic boundary of $\mathbb H^3$, we show that uniqu
Externí odkaz:
http://arxiv.org/abs/2309.00599
Autor:
Diaf, Farid, Seppi, Andrea
Publikováno v:
In: In the tradition of Thurston III: Geometry and Dynamics, (K. Ohshika and A. Papadopoulos ed.). Springer Verlag, 2024
Thurston's earthquake theorem asserts that every orientation-preserving homeomorphism of the circle admits an extension to the hyperbolic plane which is a (left or right) earthquake. The purpose of these notes is to provide a proof of Thurston's eart
Externí odkaz:
http://arxiv.org/abs/2306.03631
We provide a full classification of complete maximal $p$-dimensional spacelike submanifolds in the pseudo-hyperbolic space $\mathbf{H}^{p,q}$, and we study its applications to Teichm\"uller theory and to the theory of Anosov representations of hyperb
Externí odkaz:
http://arxiv.org/abs/2305.15103
We conclude the multiple fibration problem for closed orientable Seifert three-orbifolds, namely the determination of all the inequivalent fibrations that such an orbifold may admit. We treat here geometric orbifolds with geometries $\mathbb R^3$ and
Externí odkaz:
http://arxiv.org/abs/2302.06443
We prove four results towards a description, in terms of the null support function, of the set of isometric embeddings of the hyperbolic plane into Minkowski 3-space. We show that for sufficiently tame null support function, the corresponding entire
Externí odkaz:
http://arxiv.org/abs/2207.10019
Publikováno v:
Math. Ann. 388 (2024), no. 4, 3981-4010
Even though it is known that there exist quasi-Fuchsian hyperbolic three-manifolds that do not admit any monotone foliation by constant mean curvature (CMC) surfaces, a conjecture due to Thurston asserts the existence of CMC foliations for all almost
Externí odkaz:
http://arxiv.org/abs/2204.05736
Autor:
Nie, Xin, Seppi, Andrea
Publikováno v:
Cal. Var. PDE. 62, 4 (2023)
For convex hypersurfaces in the affine space $\mathbb{A}^{n+1}$ ($n\geq2$), A.-M.\ Li introduced the notion of $\alpha$-normal field as a generalization of the affine normal field. By studying a Monge-Amp\`ere equation with gradient blowup boundary c
Externí odkaz:
http://arxiv.org/abs/2111.04532
In this paper we study the para-hyperK\"ahler geometry of the deformation space of MGHC anti-de Sitter structures on $\Sigma\times\mathbb R$, for $\Sigma$ a closed oriented surface. We show that a neutral pseudo-Riemannian metric and three symplectic
Externí odkaz:
http://arxiv.org/abs/2107.10363
Autor:
Seppi, Andrea, Trebeschi, Enrico
Publikováno v:
Developments in Lorentzian Geometry, Springer Proceedings in Mathematics and Statistics, 285-313, 2022
In this note we develop a half-space model for the pseudo-hyperbolic space $\mathbb{H}^{p,q}$, for any $p,q$ with $p\geq 1$. This half-space model embeds isometrically onto the complement of a degenerate totally geodesic hyperplane in $\mathbb{H}^{p,
Externí odkaz:
http://arxiv.org/abs/2106.11122