PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 60(74), pp. 101107 (1996) 

Paraquaternionic projective space and pseudoRiemannian geometryNovica Bla\v zi\'cMatemati\v cki fakultet, Beograd, YugoslaviaAbstract: A natural and geometrical definition of projective space $(P_n(\Bbb B),g_0)$, based on the algebra of paraquaternionic numbers $\Bbb B$, is given. Using the technique of pseudoRiemannian submersions, we determine the curvature of the paraquaternionic space $(P_n(\Bbb B),g_0)$. Moreover, the properties of this curvatures are studied. Classification (MSC2000): 53C15; 53C50 Full text of the article:
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