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Hypersurfaces of constant Gauss-Kronecker curvature with Li-normalization in affine space
Xin Nie, Andrea Seppi
For convex hypersurfaces in the affine space (), A.-M.\ Li introduced the notion of -normal field as a generalization of the affine normal field. By s…
Para-hyperKähler geometry of the deformation space of maximal globally hyperbolic anti-de Sitter three-manifolds
Filippo Mazzoli, Andrea Seppi, Andrea Tamburelli
In this paper we study the para-hyperKähler geometry of the deformation space of MGHC anti-de Sitter structures on , for a closed oriented surface. We show th…
A remark on one-harmonic maps from a Hadamard surface of pinched negative curvature to the hyperbolic plane
François Fillastre, Andrea Seppi
We show that every one-harmonic map, in the sense of Trapani and Valli, from a Hadamard surface of pinched negative curvature to has image the interior of the convex…
The half-space model of pseudo-hyperbolic space
Andrea Seppi, Enrico Trebeschi
In this note we develop a half-space model for the pseudo-hyperbolic space , for any with . This half-space model embeds isometrically onto the com…
Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces
Christian El Emam, Andrea Seppi
We prove that any minimal Lagrangian diffeomorphism between two closed spherical surfaces with cone singularities is an isometry, without any assumption on the multiangles of the t…