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math.AP2026
Regularity of a Geodesic equation in the space of mixed Volume Forms on Hermitian Manifolds
Mathew George
We prove regularity of a fully nonlinear equation that arises from the study of geodesics in the space of mixed volume forms on Hermitian manifolds admitting a balanced metric. Und…
math.AP2024
Fully nonlinear parabolic equations of real forms on Hermitian manifolds
Mathew George, Bo Guan
Over many decades fully nonlinear PDEs, and the complex Monge-Ampère equation in particular played a central role in the study of complex manifolds. Most previous works focused on…