Endo-Pajitnov流形上的特殊non-Kähler度量

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-12-16 DOI:10.1007/s10231-024-01533-0

Cristian Ciulică, Alexandra Otiman, Miron Stanciu

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引用次数: 0

摘要

我们研究了由Endo和Pajitnov引入的高维类似的Inoue曲面的度量和上同调性质。我们给出了一个解流形结构，并证明了在可对角的情况下，它们是形式化的，并且具有不变的de Rham上同调。此外，我们还得到了多闭度量和astheno-Kähler度量的算术和上同调性质，并证明了它们在所有复维中给出了新的例子。

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Special non-Kähler metrics on Endo–Pajitnov manifolds

We investigate the metric and cohomological properties of higher dimensional analogues of Inoue surfaces, that were introduced by Endo and Pajitnov. We provide a solvmanifold structure and show that in the diagonalizable case, they are formal and have invariant de Rham cohomology. Moreover, we obtain an arithmetic and cohomological characterization of pluriclosed and astheno-Kähler metrics and show they give new examples in all complex dimensions.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.