The Space of Volume Forms

DOI10.1093/imrn/rnq099zbMath1218.58008arXiv0810.3880OpenAlexW2092154732MaRDI QIDQ3168848

Xiuxiong Chen, Weiyong He

Publication date: 27 April 2011

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3880

zbMATH Keywords

geodesic equationsvolume formsDonaldson metricNahm equation

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Kähler-Einstein manifolds (32Q20) Group structures and generalizations on infinite-dimensional manifolds (58B25) Manifolds of mappings (58D15) Equations in function spaces; evolution equations (58D25) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (10)

The Gursky-Streets equations ⋮ The Calabi metric for the space of Kähler metrics ⋮ A maximum rank problem for degenerate elliptic fully nonlinear equations ⋮ \(C^{1,1}\) regularity of degenerate complex Monge-Ampère equations and some applications ⋮ A formal Riemannian structure on conformal classes and the inverse Gauss curvature flow ⋮ A fully nonlinear partial differential equation and its application to the \(\sigma_k\)-Yamabe problem ⋮ On the Space of Kähler Potentials ⋮ Partial Legendre transforms of non-linear equations ⋮ \(C^{1,1}\) regularity of geodesics in the space of volume forms ⋮ Regularity of the homogeneous Monge-Ampère equation

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