G. Molino - The Horizontal Einstein Property for H-Type sub-Riemannian Manifolds

Gianmarco Molino (1) , Samuel Debergue (2)

1 UCONN - University of Connecticut
2 UGA [2016-2019] - Université Grenoble Alpes [2016-2019]

We generalize the notion of H-type sub-Riemannian manifolds introduced by Baudoin and Kim, and then introduce a notion of parallel Clifford structure related to a recent work of Moroianu and Semmelmann. On those structures, we prove an Einstein property for the horizontal distribution using ideas from Ishihara’s work on hyper-Kahler and bquaternionic Kahler manifolds. This is a joint work with F. Baudoin, E. Grong, and L. Rizzi.

Mots clés: sub-riemannian days 2018; sub-riemannian; horizontal Einstein property; H-Type; manifolds

Mots clés: journées sous-riemanniennes 2018; sous-riemannien; grenoble

Domaines: Mathématiques [math]

Gianmarco Molino, Samuel Debergue. G. Molino - The Horizontal Einstein Property for H-Type sub-Riemannian Manifolds: Sub-riemannian days 2018. 2018. ⟨medihal-01978263⟩