37 citations · 87 across the 13 of their papers we have counts for
14 papers
Holonomy in pseudo-Hermitian geometry
Anton S. Galaev, Thomas Leistner, Felipe Leitner
We study the holonomy that is associated to a sub-Riemannian structure defined on the kernel of a global contact form. This includes the holonomy of Schouten's horizontal connectio…
Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds
Georges Habib, Felipe Leitner
In this paper, we establish a new eigenvalue estimate for the Kohn-Dirac operator on a compact CR manifold. The equality case of this estimate is characterized by the existence of…
Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
Felipe Leitner
We study Kohn-Dirac operators on strictly pseudoconvex CR manifolds with structure of weight . Certain components of are CR…
A class of compact Poincare-Einstein manifolds: properties and construction
A. Rod Gover, Felipe Leitner
We develop a geometric and explicit construction principle that generates classes of Poincare-Einstein manifolds, and more generally almost Einstein manifolds. Almost Einstein mani…
A sub-product construction of Poincare-Einstein metrics
A. Rod Gover, Felipe Leitner
Given any two Einstein (pseudo-)metrics, with scalar curvatures suitably related, we give an explicit construction of a Poincaré-Einstein (pseudo-)metric with conformal infinity th…
A remark on conformal $\SU(p,q)$-holonomy
Felipe Leitner
If the conformal holonomy group of a simply connected space with conformal structure of signature is reduced to $\U(p,q)$ then the conformal holono…