Mixed 3-Sasakian structures and curvature
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.1953
- arXiv:
- arXiv:0803.1953
- Bibcode:
- 2008arXiv0803.1953C
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C15;
- 53C25;
- 53C50
- E-Print:
- 14 pages, no figures