377 citations
- Institut Élie Cartan de LorraineFR42 papers
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4 papers · 2 filters
Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations
Georges Habib
In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a quaternion-Kahler foliation. The limiting case is characterized by the existence…
Extremal functions for the sharp Nash inequality
Emmanuel Humbert
We give geometrical conditions under which there exist extremal functions for the sharp -Nash inequality.
Einstein-Weyl structures on lightike hypersurfaces
Cyriaque Atindogbe, Lionel Bérard Bergery
We study Weyl structures on lightlikes hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate…
Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type
Vincent Koziarz, Julien Maubon
Let G be either SU(p,2) with p>=2, Sp(2,R) or SO(p,2) with p>=3. The symmetric spaces associated to these G's are the classical bounded symmetric domains of rank 2, with the except…