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math.CV2021★ 8 cited
Some Properties of Balanced Hyperbolic Compact Complex Manifolds
Samir Marouani, Dan Popovici
We prove several vanishing theorems for the cohomology of balanced hyperbolic manifolds that we introduced in our previous work and for the harmonic spaces on the universal c…
math.CV2021
Balanced Hyperbolic and Divisorially Hyperbolic Compact Complex Manifolds
Samir Marouani, Dan Popovici
We introduce two notions of hyperbolicity for not necessarily Kähler -dimensional compact complex manifolds . The first, called {\it balanced hyperbolicity}, generalises Grom…