Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces

Robert Petit (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

We derive Mok-Siu-Yeung type formulas for horizontal maps from compact contact locally sub-symmetric spaces into strictly pseudoconvex CR manifolds and we obtain some rigidity theorems for the horizontal pseudoharmonic maps.

Mots clés: Contact locally sub-symmetric spaces; Tanaka-Webster connection; pseudoharmonic maps; CR maps; Rumin complex; Mok-Siu-Yeung type formulas; rigidity results

Domaines: Géométrie différentielle [math.DG]

Robert Petit. Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces. Annals of Global Analysis and Geometry, 2009, 35 (1), pp.1--37. ⟨hal-00157581⟩