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math.DG2023
A Moment Map for the Space of Maps to a Balanced Manifold
Dan Popovici, Luis Ugarte
Given a complex balanced manifold and a compact complex manifold equipped with a positive volume form and satisfying an extra condition such that $\mbox{dim}\,S\geq\…
math.DG2023
Partially Hyperbolic Compact Complex Manifolds
Hisashi Kasuya, Dan Popovici
We propose and investigate two types, the latter with two variants, of notions of partial hyperbolicity accounting for several classes of compact complex manifolds behaving hyperbo…