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5 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…
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,…
On the second cohomology of Kähler groups
Bruno Klingler, Vincent Koziarz, Julien Maubon
Carlson and Toledo conjectured that any infinite fundamental group of a compact Kähler manifold satisfies . We assume that admits an unbounded reductive r…