Currently displaying 1 – 6 of 6

Showing per page

Order by Relevance | Title | Year of publication

Mixed 3-Sasakian structures and curvature

Angelo V. CaldarellaAnna Maria Pastore — 2009

Annales Polonici Mathematici

We deal with two classes of mixed metric 3-structures, namely the mixed 3-Sasakian structures and the mixed metric 3-contact structures. First, we study some properties of the curvature of mixed 3-Sasakian structures. Then we prove the identity between the class of mixed 3-Sasakian structures and the class of mixed metric 3-contact structures.

The Tanaka-Webster connection for almost 𝒮 -manifolds and Cartan geometry

Antonio LottaAnna Maria Pastore — 2004

Archivum Mathematicum

We prove that a CR-integrable almost 𝒮 -manifold admits a canonical linear connection, which is a natural generalization of the Tanaka–Webster connection of a pseudo-hermitian structure on a strongly pseudoconvex CR manifold of hypersurface type. Hence a CR-integrable almost 𝒮 -structure on a manifold is canonically interpreted as a reductive Cartan geometry, which is torsion free if and only if the almost 𝒮 -structure is normal. Contrary to the CR-codimension one case, we exhibit examples of non normal...

Page 1

Download Results (CSV)