Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893618 | Journal of Geometry and Physics | 2007 | 12 Pages |
Abstract
We present a compared analysis of some properties of 3-Sasakian and 3-cosymplectic manifolds. We construct a canonical connection on an almost 3-contact metric manifold which generalises the Tanaka–Webster connection of a contact metric manifold and we use this connection to show that a 3-Sasakian manifold does not admit any Darboux-like coordinate system. Moreover, we prove that any 3-cosymplectic manifold is Ricci-flat and admits a Darboux coordinate system if and only if it is flat.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Beniamino Cappelletti Montano, Antonio De Nicola,