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.

Bott-Chern harmonic forms on Stein manifolds / Piovani, Riccardo; Tomassini, A.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6826. - 147:4(2018), pp. 1551-1564. [10.1090/proc/14334]

Bott-Chern harmonic forms on Stein manifolds

PIOVANI, RICCARDO;Tomassini A.
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.
Bott-Chern harmonic forms on Stein manifolds / Piovani, Riccardo; Tomassini, A.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1088-6826. - 147:4(2018), pp. 1551-1564. [10.1090/proc/14334]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2851670
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