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19932026
most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

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Showing 2007 · math.DGShow all

7 papers · 2 filters

math.DG2007★ 6 cited

Surgery and the spinorial tau-invariant

Bernd Ammann, Mattias Dahl, Emmanuel Humbert

We associate to a compact spin manifold M a real-valued invariant τ(M) by taking the supremum over all conformal classes over the infimum inside each conformal class of the first p…

math.DG2007

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…

math.DG2007★ 6 cited

Eigenvalues of the transversal Dirac operator on Kahler foliations

Georges Habib

In this paper, we prove Kirchberg inequalities for any kahler spin foliations. Their limiting cases are then characterized as being transversal minimal Einstein foliations. The key…

math.DG2007★ 22 cited

Energy-Momentum tensor on foliations

Georges Habib

In this paper, we give a new lower bound for the eigenvalues of the Dirac operator on a compact spin manifold. This estimate is motivated by the fact that in its limiting case a sk…

math.DG2007

Extremal functions for the sharp Nash inequality

Emmanuel Humbert

We give geometrical conditions under which there exist extremal functions for the sharp -Nash inequality.

math.DG2007

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…