Mixed 3-Sasakian structures and curvature

Details Mixed 3-Sasakian structures and curvature Mixed 3-Sasakian structures and curvature

2008-03-13

arxiv.org/abs/0803.1953v1

Ann. Polon. Math. 96 (2009), 107--125

Mathematics

Differential Geometry

14 pages, no figures

Scientific paper

10.4064/ap96-2-2

In this paper we deal with two classes of mixed metric 3-structures, namely the mixed 3-Sasakian structures and the mixed metric 3-contact structures. Firstly we study some properties of the curvature of mixed 3-Sasakian structures, proving that any manifold endowed with such a structure is Einstein. Then we prove the identity between the class of mixed 3-Sasakian structures and the class of mixed metric 3-contact structures.

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