Generalized almost even-Clifford manifolds and their twistor spaces-Reference-Cited by-同舟云学术

Generalized almost even-Clifford manifolds and their twistor spaces

Published:2021-01-01 Issue:1 Volume:8 Page:96-124
ISSN:2300-7443
Container-title:Complex Manifolds
language:en
Short-container-title:

Author:

Hernández-Moguel Luis Fernando¹,Herrera Rafael²

Affiliation:

1. UNAM and Centro de Investigación en Matemáticas , A. P. 402, Guanajuato, Gto., C.P. 36000, México

2. Centro de Investigación en Matemáticas , A. P. 402, Guanajuato, Gto., C.P. 36000, México

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/coma-2020-0108/pdf

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