All Questions
Tagged with calabi-yau elliptic-pde
3 questions
0
votes
0
answers
9
views
About the Schauder Estimate in the paper of Yau regarding Calabi's conjecture
I'm trying to understand the paper
Yau, S.-T., On The Ricci Curvature of a Compact Kähler Manifold and the Complex Monge-Ampére Equation, I, Comm. Pure Appl. Math., 31 (1978) 339-411 (DOI)
Let $\...
- 1
2
votes
0
answers
147
views
Calabi $C^3$ estimate
I have a question regarding a computation analogous to the Calabi $C^3$ estimate which is used in the proof of the Calabi--Yau theorem.
Motivation: Establishing Liouville type theorems for complex ...
- 1,379
1
vote
0
answers
250
views
A question about the proof of McLean's theorem: why is the space of $C^{k,\alpha}$ exact $p$-forms a Banach space?
In the famous paper "Deformations of Calibrated Submanifolds" by Robert McLean, he showed that given a smooth compact special Lagrangian $L$ in a Calabi-Yau manifold $(X^{2n},\omega,\Omega)$, there is ...
- 461