Almost Hermitian Structures and Quaternionic Geometries

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Gray & Hervella gave a classification of almost Hermitian structures (g,I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyper-Hermitian structure (g,I,J,K). In general dimension we find at most 167 different almost hyper-Hermitian structures. In particular, we obtain a number of relations that give hyperKäher or locally conformal hyperKähler structures, thus generalising a result of Hitchin. We also study the types of almost quaternion-Hermitian geometries that arise and tabulate the results.
22 pages, 5 tables

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Differential Geometry, 53C25; 53C15, 53C10

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http://salesiana.dossiersoluciones.com/handle/123456789/68019

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307118
 http://arxiv.org/abs/math/0307118

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arXiv