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About the geometry of almost para-quaternionic manifolds

Authors :
Liana David
Source :
Differential Geometry and its Applications. (5):575-588
Publisher :
Elsevier B.V.

Abstract

We provide a general criteria for the integrability of the almost para-quaternionic structure of an almost para-quaternionic manifold (M,P) of dimension bigger or equal to eight, in terms of the integrability of two or three sections of the defining rank three vector bundle P. We relate it with the integrability of the canonical almost complex structure of the twistor space and to the integrability of the canonical almost para-complex structure of the reflector space of (M,P). We show that (M, P) has plenty of locally defined, compatible, complex and para-complex structures, provided that P is para-quaternionic.<br />26 pages

Details

Language :
English
ISSN :
09262245
Issue :
5
Database :
OpenAIRE
Journal :
Differential Geometry and its Applications
Accession number :
edsair.doi.dedup.....fd271f849aa7bc9b6de378e788764662
Full Text :
https://doi.org/10.1016/j.difgeo.2009.01.014