https://neckpinch.com/authors/antonio-otal/New arXiv papers by Antonio Otal, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1809.02632/arxiv:1809.02632Fri, 07 Sep 2018 00:00:00 GMTDaniele Angella, Antonio Otal, Luis Ugarte, Raquel Villacampa — We study Hermitian metrics with a Gauduchon connection being "Kähler-like", namely, satisfying the same symmetries for curvature as the Levi-Civita and Chern connections. In particular, we investigate 6-dimensional solvmanifolds with invariant complex structures with trivial canonical bundle and with invariant Hermitian metrics. The results for this case give evidence for two conjectures that are expected to hold in more generality: first, if the Strominger-Bismut connection is Kähler-like, then the metric is pluriclosed; second, if another Gauduchon connection, different from Chern or Strominger-Bismut, is Kähler-like, then the metric is Kähler. As a further motivation, we show that the Kähler-like condition for the Levi-Civita connection assures that the Ricci flow preserves the Hermitian condition along analytic solutions.Ricci flowGeneralized & G₂ flowsKähler geometryHomogeneous spaces