Generalized almost even-Clifford manifolds and their twistor spaces

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 s...

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Autores principales:	Hernández-Moguel Luis Fernando, Herrera Rafael
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	generalized complex structure even-clifford structure twistor space 53d18 53c28 53c15 15a66 32l25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/511e4a02d985496297d951aeb23346b7
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id	oai:doaj.org-article:511e4a02d985496297d951aeb23346b7
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spelling	oai:doaj.org-article:511e4a02d985496297d951aeb23346b72021-12-05T14:10:45ZGeneralized almost even-Clifford manifolds and their twistor spaces2300-744310.1515/coma-2020-0108https://doaj.org/article/511e4a02d985496297d951aeb23346b72021-02-01T00:00:00Zhttps://doi.org/10.1515/coma-2020-0108https://doaj.org/toc/2300-7443Motivated 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.Hernández-Moguel Luis FernandoHerrera RafaelDe Gruyterarticlegeneralized complex structureeven-clifford structuretwistor space53d1853c2853c1515a6632l25MathematicsQA1-939ENComplex Manifolds, Vol 8, Iss 1, Pp 96-124 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	generalized complex structure even-clifford structure twistor space 53d18 53c28 53c15 15a66 32l25 Mathematics QA1-939
spellingShingle	generalized complex structure even-clifford structure twistor space 53d18 53c28 53c15 15a66 32l25 Mathematics QA1-939 Hernández-Moguel Luis Fernando Herrera Rafael Generalized almost even-Clifford manifolds and their twistor spaces
description	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.
format	article
author	Hernández-Moguel Luis Fernando Herrera Rafael
author_facet	Hernández-Moguel Luis Fernando Herrera Rafael
author_sort	Hernández-Moguel Luis Fernando
title	Generalized almost even-Clifford manifolds and their twistor spaces
title_short	Generalized almost even-Clifford manifolds and their twistor spaces
title_full	Generalized almost even-Clifford manifolds and their twistor spaces
title_fullStr	Generalized almost even-Clifford manifolds and their twistor spaces
title_full_unstemmed	Generalized almost even-Clifford manifolds and their twistor spaces
title_sort	generalized almost even-clifford manifolds and their twistor spaces
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/511e4a02d985496297d951aeb23346b7
work_keys_str_mv	AT hernandezmoguelluisfernando generalizedalmostevencliffordmanifoldsandtheirtwistorspaces AT herrerarafael generalizedalmostevencliffordmanifoldsandtheirtwistorspaces
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Generalized almost even-Clifford manifolds and their twistor spaces

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