Scalar curvature rigidity of almost Hermitian manifolds which are asymptotic to $\mathbb{C}H^{2n}$

Simple item page
dc.creatorListing, Mario
dc.date2004-08-06
dc.date.accessioned2026-07-07T05:11:05Z
dc.date.available2026-07-07T05:11:05Z
dc.descriptionWe show that an almost Hermitian manifold $(M,g)$ of real dimension $4n$ which is strongly asymptotic to $\mathbb{C}H^{2n}$ and satisfies a certain scalar curvature bound must be isometric to the complex hyperbolic space. Assuming Kähler instead of almost Hermitian this gives the already known rigidity result by H. Boualem and M. Herlich proved in \emph{Ann. Scuola Norm. Sup Pisa (Ser. V)}, vol. 1(2).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0408092
dc.identifierhttp://arxiv.org/abs/math/0408092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72127
dc.subjectDifferential Geometry
dc.subject53C24; 53C55
dc.titleScalar curvature rigidity of almost Hermitian manifolds which are asymptotic to $\mathbb{C}H^{2n}$
dc.typetext

Files

Collections

arXiv