Geometric flows and Strominger systems

DOI10.1007/s00209-017-1879-yzbMath1407.32011arXiv1508.03315OpenAlexW2963156125MaRDI QIDQ1706079

Duong H. Phong, Sebastien Picard, Xiangwen Zhang

Publication date: 21 March 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03315

zbMATH Keywords

balanced metricsNash-Moser implicit function theoremanomaly equationStrominger equations

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Other complex differential geometry (53C56)

Related Items (30)

Estimates for a geometric flow for the type IIB string ⋮ Generalized Donaldson functionals and related nonlinear partial differential equations ⋮ On convergence criteria for the coupled flow of Li-Yuan-Zhang ⋮ The anomaly flow and the Fu-Yau equation ⋮ Hessian equations on closed Hermitian manifolds ⋮ The Fu-Yau equation with negative slope parameter ⋮ Singular Gauduchon metrics ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ T-dual solutions of the Hull-Strominger system on non-Kähler threefolds ⋮ Special Lagrangian cycles and Calabi-Yau transitions ⋮ Stability of the tangent bundle through conifold transitions ⋮ Geometric flows and supersymmetry ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms ⋮ A construction of infinitely many solutions to the Strominger system ⋮ The anomaly flow on nilmanifolds ⋮ The Hull-Strominger system and the anomaly flow on a class of solvmanifolds ⋮ Local curvature estimates along the \(\kappa\)-LYZ flow ⋮ Regularizing properties of complex Monge-Ampère flows. II: Hermitian manifolds ⋮ Fu-Yau Hessian equations ⋮ The Anomaly flow on unimodular Lie groups ⋮ Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups ⋮ A flow of conformally balanced metrics with Kähler fixed points ⋮ The inverse Monge-Ampère flow and applications to Kähler-Einstein metrics ⋮ Kähler-Ricci flow on blowups along submanifolds ⋮ Heterotic solitons on four-manifolds ⋮ Transverse fully nonlinear equations on Sasakian manifolds and applications ⋮ Fractal diffusion from a geometric Ricci flow ⋮ A Hermitian curvature flow ⋮ Bochner-Kodaira formulas and the type IIA flow

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