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Displaying similar documents to “From Sasakian 3-structures to quaternionic geometry”

Conformal and related changes of metric on the product of two almost contact metric manifolds.

David E. Blair, José Antonio Oubiña (1990)

Publicacions Matemàtiques

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This paper studies conformal and related changes of the product metric on the product of two almost contact metric manifolds. It is shown that if one factor is Sasakian, the other is not, but that locally the second factor is of the type studied by Kenmotsu. The results are more general and given in terms of trans-Sasakian, α-Sasakian and β-Kenmotsu structures.

A Product Twistor Space

Blair, David (2002)

Serdica Mathematical Journal

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∗Research supported in part by NSF grant INT-9903302. In previous work a hyperbolic twistor space over a paraquaternionic Kähler manifold was defined, the fibre being the hyperboloid model of the hyperbolic plane with constant curvature −1. Two almost complex structures were defined on this twistor space and their properties studied. In the present paper we consider a twistor space over a paraquaternionic Kähler manifold with fibre given by the hyperboloid of 1-sheet,...