A note on the deformed Hermitian Yang-Mills PDE
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Publication:4611612
DOI10.1080/17476933.2018.1454914zbMath1414.35097arXiv1509.00943OpenAlexW2963850991WikidataQ130025488 ScholiaQ130025488MaRDI QIDQ4611612
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Publication date: 21 January 2019
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.00943
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of differential geometry to physics (53Z05) Monge-Ampère equations (35J96)
Related Items (10)
The deformed Hermitian Yang-Mills equation on three-folds ⋮ Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds ⋮ A rigidity theorem for the deformed Hermitian-Yang-Mills equation ⋮ Collapsing of the line bundle mean curvature flow on Kähler surfaces ⋮ A numerical criterion for generalised Monge-Ampère equations on projective manifolds ⋮ Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow ⋮ A vector bundle version of the Monge-Ampère equation ⋮ The J-equation and the supercritical deformed Hermitian-Yang-Mills equation ⋮ The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds ⋮ Hessian equations of Krylov type on compact Hermitian manifolds
Cites Work
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- A microscopic convexity principle for nonlinear partial differential equations
- A special Lagrangian type equation for holomorphic line bundles
- On a class of fully nonlinear flows in Kähler geometry
- Parabolic complex Monge-Ampère type equations on closed Hermitian manifolds
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