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complex geometry geometry analysis fully nonlinear elliptic equation

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3
Is there a solution of a first order nonlinear PDE?
Jul 22, 2020
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2
The Monge- Ampère equation with a non positive right hand side
Nov 16, 2019
question
2
Can a real (1,1) form $\phi$ be represented by $u\sqrt{-1}\partial\bar{\partial}u$ on a Kähler manifold?
Mar 18, 2020
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1
Complex structure on product of two $n$-dimensional real manifolds
Nov 15, 2019
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1
Is $(e^{u}+1)\Delta u+u=0$ the Euler-Lagrange equation of a functional energy?
Nov 25, 2019
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1
How do we calculate the isotropic curvature is nonnegative on a $4$-dimensional manifold?
Jul 18, 2020
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1
Are there $f, g$ such that $\int_{S^{1}} |f'|^{2}+|g'|^{2}d\theta-2\int_{S^{1}}f'g<0,$ where $f'=\frac{\partial f}{\partial \theta}$
Jul 31, 2020
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$\Omega$ is a nowhere-vanishing $(n, 0)$ form satisfying $d\Omega=0$ on almost Hermitian manifold , can we obtain $J$ is integrable?
Aug 15, 2021