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Tangent cones, starshape and convexity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1978 In the last few years various infinite dimensional extensions to Krasnoselski's Theorem on starshaped sets [14] have been made. These began with a paper by Edelstein and Keener [8] and have culminated in the papers by Borwein, Edelstein and O'Brien [3 ...
J. M. Borwein
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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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Vector subdifferentials and tangent cones
Journal of Numerical Analysis and Approximation Theory, 2005 Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function.
Cristina Stamate
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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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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
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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
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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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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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Tangent Cones and Quasi-Interiorly Tangent Cones to Multifunctions [PDF]
Transactions of the American Mathematical Society, 1983 R. T. Rockafellar has proved a number of rules of subdifferential calculus for nonlocally lipschitzian real-valued functions by investigating the Clarke tangent cones to the epigraphs of such functions. Following these lines we study in this paper the tangent cones to the sum and the composition of two multifunctions.
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Algebraic Tangent Cones of Reflexive Sheaves [PDF]
International Mathematics Research Notices, 2018 Abstract We study the notion of algebraic tangent cones at singularities of reflexive sheaves. These correspond to extensions of reflexive sheaves across a negative divisor. We show the existence of optimal extensions in a constructive manner, and we prove the uniqueness in a suitable sense.
Chen, Xuemiao, Sun, Song
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