Let M be an n-dimensional d-bounded Stein manifold M, i.e., a complex n-dimensional manifold M admitting a smooth strictly plurisubhar-monic exhaustion ρ and endowed with the Kähler metric whose fundamental form is ω = i∂∂ρ, such that i∂ρ has bounded L∞ norm. We prove a vanishing result for W 1,2 harmonic forms with respect to the Bott-Chern Laplacian on M.
Piovani, R., Tomassini, A., Bott-Chern harmonic forms on Stein manifolds, <<PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY>>, 2019; 147 (4): 1551-1564. [doi:10.1090/proc/14334] [https://hdl.handle.net/10807/334241]
Bott-Chern harmonic forms on Stein manifolds
Piovani, Riccardo;
2018
Abstract
Let M be an n-dimensional d-bounded Stein manifold M, i.e., a complex n-dimensional manifold M admitting a smooth strictly plurisubhar-monic exhaustion ρ and endowed with the Kähler metric whose fundamental form is ω = i∂∂ρ, such that i∂ρ has bounded L∞ norm. We prove a vanishing result for W 1,2 harmonic forms with respect to the Bott-Chern Laplacian on M.
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