activity
20132026
most citedArea-preserving diffeomorphism of the hyperbolic plane and K-surfaces in Anti-de Sitter space

15 citations · 50 across the 28 of their papers we have counts for

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Showing 2021 · math.DGShow all

5 papers · 2 filters

math.DG2021

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…

math.DG2021★ 1 cited

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…

math.DG2021

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…

math.DG2021

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…

math.DG2021

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…