Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds

DOI10.1080/03605302.2015.1116560zbMath1347.53055arXiv1502.02584OpenAlexW1790934886MaRDI QIDQ2810602

Jeffrey Streets

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02584

zbMATH Keywords

Calabi-Yau manifoldChern connectiongeneralized geometrycharacteristic classpluriclosed flowpluriclosed metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Parabolic Monge-Ampère equations (35K96) PDEs on manifolds (35R01)

Related Items (22)

Pluriclosed flow on generalized Kähler manifolds with split tangent bundle ⋮ Pluriclosed flow on manifolds with globally generated bundles ⋮ Generalized Kähler-Ricci flow on toric Fano varieties ⋮ Lie-algebraic curvature conditions preserved by the Hermitian curvature flow ⋮ Variational structure and uniqueness of generalized Kähler-Ricci solitons ⋮ Global viscosity solutions of generalized Kähler-Ricci flow ⋮ Expanding solitons to the Hermitian curvature flow on complex Lie groups ⋮ Pluriclosed flow and Hermitian-symplectic structures ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ On the pluriclosed flow on Oeljeklaus–Toma manifolds ⋮ Optimal transport and generalized Ricci flow ⋮ A remark on the Bismut-Ricci form on 2-step nilmanifolds ⋮ Deformation classes in generalized Kähler geometry ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces ⋮ The nondegenerate generalized Kähler Calabi-Yau problem ⋮ Lower order tensors in non-Kähler geometry and non-Kähler geometric flow ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups ⋮ On a Calabi-type estimate for pluriclosed flow ⋮ Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations ⋮ Classification of solitons for pluriclosed flow on complex surfaces

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