A characterisation of the Calabi product of hyperbolic affine spheres

Simple item page
dc.creatorHu, Zejun
dc.creatorLi, Haizhong
dc.creatorVrancken, Luc
dc.date2007-12-07
dc.date.accessioned2026-07-07T08:47:53Z
dc.date.available2026-07-07T08:47:53Z
dc.descriptionThere exists a well known construction which allows to associate with two hyperbolic affine spheres $f_i: M_i^{n_i} \to \mathbb R^{n_i+1}$ a new hyperbolic affine sphere immersion of $I \times M_1 \times M_2$ into $\mathbb R^{n_1+n_2+3}$. In this paper we deal with the inverse problem: how to determine from properties of the difference tensor whether a given hyperbolic affine sphere immersion of a manifold $M^n \to \mathbb R^{n+1}$ can be decomposed in such a way.
dc.description14pages
dc.identifierhttps://arxiv.org/abs/0712.1073
dc.identifierhttp://arxiv.org/abs/0712.1073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143760
dc.subjectDifferential Geometry
dc.subject53A15
dc.titleA characterisation of the Calabi product of hyperbolic affine spheres
dc.typetext

Files

Collections

arXiv