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- Université de LorraineFR874 papers
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9 papers · 2 filters
Cotangent paths as coisotropic subsets for local functions
Camille Laurent-Gengoux, Yahya Turki
We establish a local function version of a classical result claiming that a bivector field on a manifold is Poisson if and only if cotangent paths form a coisotropic set of the…
Conceptual differential calculus part ii: Cubic higher order calculus
Wolfgang Bertram
Following the programme set out in Part I of this work, we develop a conceptual higher order differential calculus. The '' local linear algebra '' defined in Part I is generalized…
Invariant connections and PBW theorem for Lie groupoid pairs
Camille Laurent-Gengoux, Yannick Voglaire
To a closed wide Lie subgroupoid of a Lie groupoid , i.e. a Lie groupoid pair, we associate an Atiyah class which we interpret as the obstruction to the ex…
On the area of minimal surfaces in a slab
Jaigyoung Choe, Benoit Daniel
Consider a non-planar orientable minimal surface S in a slab which is possibly with genus or with more than two boundary components. We show that there exists a catenoidal waist W…
A holographic principle for the existence of parallel spinor fields and an inequality of Shi-Tam type
Oussama Hijazi, Sebastián Montiel
Suppose that is the -dimensional boundary of a connected compact Riemannian spin manifold with non-negative scalar curvature, and that…
A holographic principle for the existence of imaginary Killing spinors
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Suppose that is the -dimensional boundary, with positive (inward) mean curvature , of a connected compact -dimensional Riemannian spin manifold $(Ω^{n+1}…