398 citations
- Université de LorraineFR874 papers
- Centre National de la Recherche ScientifiqueFR237 papers
- Institut national de recherche en sciences et technologies du numériqueFR121 papers
- Université Henri PoincaréFR49 papers
- Institut Universitaire de FranceFR45 papers
- Centre Inria de l'Université de LorraineFR35 papers
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- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR19 papers
- Laboratoire de Mathématiques d'OrsayFR18 papers
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8 papers · 2 filters
Flat nearly Kähler manifolds
Vicente Cortés, Lars Schäfer
We classify flat strict nearly Kähler manifolds with (necessarily) indefinite metric. Any such manifold is locally the product of a flat pseudo-Kähler factor of maximal dimension a…
The first eigenvalue of Dirac and Laplace operators on surfaces
Jean-Francois Grosjean, Emmanuel Humbert
Let be a compact Riemmannian surface equipped with a spin structure . For any metric on , we denote by (resp. ) the f…
The spinorial τ-invariant and 0-dimensional surgery
Bernd Ammann, Emmanuel Humbert
Let be a compact manifold with a metric and with a fixed spin structure . Let be the first non-negative eigenvalue of the Dirac operator on . We set…
Surgery and Harmonic Spinors
Bernd Ammann, Mattias Dahl, Emmanuel Humbert
Let M be a compact manifold with a fixed spin structure χ. The Atiyah-Singer index theorem implies that for any metric g on M the dimension of the kernel of the Dirac operator is b…
On the cohomology algebra of some classes of geometrically formal manifolds
Jean-Francois Grosjean, Paul-Andi Nagy
We investigate harmonic forms of geometrically formal metrics, which are defined as those having the exterior product of any two harmonic forms still harmonic. We prove that a form…
Optimal eigenvalues estimate for the Dirac operator on domains with boundary
Simon Raulot
We give a lower bound for the eigenvalues of the Dirac operator on a compact domain of a Riemannian spin manifold under the $\MIT$ bag boundary condition. The limiting case is char…