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Results tagged with dg.differential-geometry
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user 62785
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
A question on the Evans-Krylov theorem and regularity of Monge-Ampere equation
I just want to add and mention the wonderful results by O.Savin in paper "Pointwise $C^{2,\alpha}$ estimates at the boundary for the Monge-Ampère equation.J. Amer. Math. Soc. 26 (2013)", which improve …
- 111
3
votes
Question on PDEs which are related to certain geometric problems (e.g. Calabi conjecture, Ga...
For operator f(\lambda)=\log P_k(\lambda), in Guan Bo's several papers, say arXiv:1409.3633v1, Page 5 below Theorem 1.9, they mention some basic properties about it, such as it satisfies (1.2) to (1.6 …
- 111
3
votes
1
answer
476
views
Is there exists (strictly) convex function on hemisphere?
Given $\mathbb{S}^n_+:=\{x\in \mathbb{R}^{n+1}: |x|=1,x_{n+1}>0\}$ be the open domain in $\mathbb{S}^n$, or be viewed as the geodesic ball centered at the pole with radius $\frac{\pi}{2}$ in $\mathbb{ …
- 111