https://neckpinch.com/authors/vladimir-slesar/New arXiv papers by Vladimir Slesar, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2205.02120/arxiv:2205.02120Wed, 04 May 2022 00:00:00 GMTVladimir Slesar, Gabriel-Eduard Vîlcu — We use the transverse Kähler-Ricci flow on the canonical foliation of a closed Vaisman manifold to deform the Vaisman metric into another Vaisman metric with a transverse Kähler-Einstein structure. We also study the main features of such a manifold. Among other results, using techniques from the theory of parabolic equations, we obtain a direct proof for the short time existence of the solution for transverse {\K}-Ricci flow on Vaisman manifolds, recovering in a particular setting a result of Bedulli, He and Vezzoni [J. Geom. Anal. 28, 697–725 (2018)], but without employing the Molino structure theorem. Moreover, we investigate Einstein-Weyl structures in the setting of Vaisman manifolds and find their relationship with quasi-Einstein metrics. Some examples are also provided to illustrate the main results.Ricci flowKähler–Ricci flowEinstein metricsAlmost & η-Ricci solitonsKähler geometryHarmonic maps & DeTurck trickKähler–Einstein & K-stability