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math.DG2026
Robinson manifolds and the Chern-Robinson connection
Robert Petit
In this article, we define the Chern-Robinson connection on the complexify tangent bundle of an almost Robinson manifold and we study the curvature associated to. Various Bianchi i…
math.DG2019★ 3 cited
Witt pseudo-Riemannian connection
Robert Petit
We define the notion of Witt structure on the tangent bundle of a pseudo-Riemannian manifold and we introduce a connection adapted to a such structure. The notions of geodesics and…
math.DG2007
Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces
Robert Petit
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 theo…