7.7k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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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}…
Uniqueness of the de Sitter spacetime among static vacua with positive cosmological constant
Oussama Hijazi, Simon Raulot, Sebastian Montiel
We prove that, among all (n + 1)-dimensional spin static vacua with positive cosmological constant, the de Sitter spacetime is characterized by the fact that its spatial Killing ho…
On a Liu--Yau type inequality for surfaces
Oussama Hijazi, Simon Raulot, Sebastian Montiel
Let be a compact and mean-convex domain with smooth boundary , in an initial data set , which has no apparent horizon in its interior. If is spacel…
Superorbits
Alexander Alldridge, Joachim Hilgert, Tilmann Wurzbacher
We study actions of Lie supergroups, in particular, the hitherto elusive notion of orbits through odd (or more general) points. Following categorical principles, we derive a concep…