Results 1 to 10 of about 868 (134)
Complex Manifolds, 2017 The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities.
Martin De Borbón
exaly +2 more sources
Photonic Weyl semimetals in pseudochiral metamaterials [PDF]
Scientific Reports, 2022 We investigate the photonic topological phases in pseudochiral metamaterials characterized by the magnetoelectric tensors with symmetric off-diagonal chirality components.
Ruey-Lin Chern, Yi-Ju Chou
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On inner calmness*, generalized calculus, and derivatives of the normal cone mapping [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 In this paper, we study continuity and Lipschitzian properties of set-valued mappings, focusing on inner-type conditions. We introduce new notions of inner calmness* and, its relaxation, fuzzy inner calmness*.
Matúš Benko
doaj +1 more source
Smocked Metric Spaces and Their Tangent Cones [PDF]
Missouri Journal of Mathematical Sciences, 2021 66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical ...
Sormani, Christiana +13 more
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On the Geometry of the Null Tangent Bundle of a Pseudo-Riemannian Manifold
Axioms, 2023 When we consider a non-definite pseudo-Riemannian manifold, we obtain lightlike tangent vectors that constitute the null tangent bundle, whose fibers are lightlike cones in the corresponding tangent spaces.
Mohamed Tahar Kadaoui Abbassi +2 more
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On the Continuity of the Tangent Cone to the Determinantal Variety [PDF]
Set-Valued and Variational Analysis, 2022 Tangent and normal cones play an important role in constrained optimization to describe admissible search directions and, in particular, to formulate optimality conditions. They notably appear in various recent algorithms for both smooth and nonsmooth low-rank optimization where the feasible set is the set $\mathbb{R}_{\leq r}^{m \times n}$ of all $m ...
Guillaume Olikier, P.-A. Absil
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Optimality Conditions for Group Sparse Constrained Optimization Problems
Mathematics, 2021 In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj +1 more source
Rigidity properties of holomorphic Legendrian singularities [PDF]
Épijournal de Géométrie Algébrique, 2019 We study the singularities of Legendrian subvarieties of contact manifolds in the complex-analytic category and prove two rigidity results. The first one is that Legendrian singularities with reduced tangent cones are contactomorphically biholomorphic to
Jun-Muk Hwang
doaj +1 more source
A microscopic analogue of the BMS group
Journal of High Energy Physics, 2023 We consider a microscopic analogue of the BMS analysis of asymptotic symmetries by analysing universal geometric structures on infinitesimal tangent light cones.
Daniel Alexander Weiss
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On Tangent Cones of Schubert Varieties [PDF]
Arnold Mathematical Journal, 2017 We consider tangent cones of Schubert varieties in the complete flag variety, and investigate the problem when the tangent cones of two different Schubert varieties coincide. We give a sufficient condition for such coincidence, and formulate a conjecture that provides a necessary condition.
Fuchs, Dmitry +3 more
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