Complex Manifolds (Feb 2021)

Generalized almost even-Clifford manifolds and their twistor spaces

  • Hernández-Moguel Luis Fernando,
  • Herrera Rafael

DOI
https://doi.org/10.1515/coma-2020-0108
Journal volume & issue
Vol. 8, no. 1
pp. 96 – 124

Abstract

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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.

Keywords