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most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

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9 papers · 2 filters

math.DG2015

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…

math.DG2015

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…

math.DG2015★ 8 cited

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…

math.DG2015

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…

math.DG2015★ 20 cited

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…

math.DG2015★ 9 cited

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}…

math.DG2015★ 25 cited

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…

math.DG2015★ 1 cited

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…

math.DG2015★ 7 cited

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…