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5 papers · 2 filters
Gromov-Thurston manifolds and anti-de Sitter geometry
Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan
We consider hyperbolic and anti-de Sitter (AdS) structures on , where is a -dimensional Gromov-Thurston manifold. If has cone angles greater than , we…
Correspondence between Pestov and Weitzenböck identities
Mihajlo Cekić, Thibault Lefeuvre, Andrei Moroianu +1
The aim of this note is to establish the correspondence between the twisted localized Pestov identity on the unit tangent bundle of a Riemannian manifold and the Weitzenböck identi…
The Heterotic-Ricci flow and its three-dimensional solitons
Andrei Moroianu, Ángel J. Murcia, C. S. Shahbazi
We introduce a novel curvature flow, the Heterotic-Ricci flow, as the two-loop renormalization group flow of the Heterotic string common sector and study its three-dimensional comp…
Adapted metrics on locally conformally product manifolds
Andrei Moroianu, Mihaela Pilca
We show that the Gauduchon metric of a compact locally conformally product manifold of dimension greater than is adapted, in the sense that the Lee form of …
Locally conformally product structures on solvmanifolds
Adrián Andrada, Viviana del Barco, Andrei Moroianu
We study left invariant locally conformally product structures on simply connected Lie groups and give their complete description in the solvable unimodular case. Based on previous…