Curvature properties of 3-quasi-Sasakian manifolds

Abstract

We find some curvature properties of 3-quasi-Sasakian manifolds which are similar to some well-known identities holding in the Sasakian case. As an application, we prove that any 3-quasi-Sasakian manifold of constant horizontal sectional curvature is necessarily either 3-α-Sasakian or 3-cosymplectic.

7 pages, to appear in Int. J. Geom. Methods Mod. Phys. (IJGMMP)

References in corpus (2)

• 3-quasi-Sasakian manifolds
• The geometry of 3-quasi-Sasakian manifolds

Cited by in corpus (2)

• 3-quasi-Sasakian manifolds
• A Note on 3-quasi-Sasakian Geometry