广义几乎偶clifford流形及其扭转空间

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2021-01-01 DOI:10.1515/coma-2020-0108

Luis Fernando Hernández-Moguel, R. Herrera

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引用次数: 0

摘要

摘要基于最近对偶Clifford结构以及广义复几何和四元数几何的兴趣，我们引入了广义几乎偶Cliffor德结构的概念。我们将甚至Clifford流形上的Arizmendi-Hadfield扭曲空间构造推广到这个设置，并证明了这样的扭曲空间在某些条件下允许广义复结构。

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Generalized almost even-Clifford manifolds and their twistor spaces

Abstract Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on even-Clifford manifolds to this setting and show that such a twistor space admits a generalized complex structure under certain conditions.

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.