On metric and cohomological properties of Oeljeklaus-Toma manifolds
Angella, Daniele (Università degli Studi di Firenze. Dipartimento di Matematica e Informatica "Ulisse Dini")
Dubickas, Arturas (Vilnius University (Lituània). Department of Mathematics and Informatics)
Otiman, Alexandra (Università degli Studi di Firenze. Dipartimento di Matematica e Informatica "Ulisse Dini")
Stelzig, Jonas (Ludwig-Maximilians-Universität München. Mathematisches Institut)
Fecha: |
2024 |
Resumen: |
We study metric and cohomological properties of Oeljeklaus-Toma manifolds. In particular, we describe the structure of the double complex of differential forms and its Bott-Chern cohomology and we characterize the existence of pluriclosed (aka SKT) metrics in number-theoretic and cohomological terms. Moreover, we prove that they do not admit any Hermitian metric ω such that ∂∂ω¯ k = 0, for 2 ≤ k ≤ n − 2, and we give explicit formulas for the Dolbeault cohomology of Oeljeklaus-Toma manifolds admitting pluriclosed metrics. |
Derechos: |
Tots els drets reservats. |
Lengua: |
Anglès |
Documento: |
Article ; recerca ; Versió publicada |
Materia: |
Oeljeklaus-toma manifold ;
Hermitian metric ;
Pluriclosed ;
SKT ;
Cohomology ;
Bott-chern cohomology |
Publicado en: |
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 219-239 (Articles) , ISSN 2014-4350 |
Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/422940
DOI: 10.5565/PUBLMAT6812409
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