Abstract:
By extending an integrability result previously proved for almost quaternionic manifolds, [M1],
a characterization of manifolds with an integrable
paraquaternionic structure as locally paraquaternionic
projective manifolds is given. An alternative proof of a characterization
of twistorial maps between quaternionic projective spaces,[IMOP], is
developed and extended to the paraquaternionic case. The extension of
these results to maps between locally (para)quaternionic Grassmannian
manifolds is discussed and partially proved, in line with [M1] and
its extension [M2] to quaternionic tensor product structures.
Key Words: (para)quaternionic projective spaces - (para)quaternionic manifolds
- (para)quaternionic integrability -(para)quaternionic maps
2000 Mathematics Subject Classification: Primary: 53C28,
Secondary: 53C26, 53C15, 53C56.
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