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
- École PolytechniqueFR22 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR19 papers
- Laboratoire de Mathématiques d'OrsayFR18 papers
- Institut Camille JordanFR16 papers
- Laboratoire de Mathématiques Blaise PascalFR16 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR14 papers
8 papers · 2 filters
Homotopes of Symmetric Spaces II. Structure Variety and Classification
Wolfgang Bertram, Pierre Bieliavsky
We classify homotopes of classical symmetric spaces (studied in Part I of this work). Our classification uses the fibered structure of homotopes: they are fibered as symmetric spac…
Homotopes of Symmetric Spaces I. Construction by Algebras with Two Involutions
Wolfgang Bertram, Pierre Bieliavsky
We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct s…
The Energy-Momentum tensor on manifolds
Roger Nakad
On manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a ma…
Mass endomorphism, surgery and perturbations
Bernd Ammann, Mattias Dahl, Andreas Hermann +1
We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass end…
Simplicial Differential Calculus, Divided Differences, and Construction of Weil Functors
Wolfgang Bertram
We define a simplicial differential calculus by generalizing divided differences from the case of curves to the case of general maps, defined on general topological vector spaces,…
Lower Bounds for the Eigenvalues of the Dirac Operator on Manifolds
Roger Nakad
In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenvalues of the Dirac operator on manifolds without boundary. The limiting…