Geometric structures on the complement of a toric mirror arrangement
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02771-1
Abstract: We study geometric structures on the complement of a toric mirror arrangement associated with a root system. Inspired by those root system hypergeometric functions found by Heckman–Opdam, and in view of the work of Couwenberg–Heckman–Looijenga… read more here.
Keywords: arrangement; geometric structures; complement toric; mirror arrangement ... See more keywords
Non-stationary smooth geometric structures for contracting measurable cocycles
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DOI: 10.1017/etds.2017.38
Abstract: We implement a differential-geometric approach to normal forms for contracting measurable cocycles to $\operatorname{Diff}^{q}(\mathbb{R}^{n},\mathbf{0})$ , $q\geq 2$ . We obtain resonance polynomial normal forms for the contracting cocycle and its centralizer, via $C^{q}$ changes of… read more here.
Keywords: stationary smooth; geometric structures; non stationary; measurable cocycles ... See more keywords
Designing the electronic and geometric structures of single-atom and nanocluster catalysts
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DOI: 10.1039/d1ta02723a
Abstract: This perspective showcases the interplay between electronic and geometric structures with respect to the catalytic properties of single-atom and nanocluster catalysts. read more here.
Keywords: single atom; atom nanocluster; nanocluster catalysts; electronic geometric ... See more keywords
Geometric Structures Generated by the Same Dynamics. Recent Results and Challenges
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DOI: 10.3390/sym14040661
Abstract: The main contribution of this review is to show some relevant relationships between three geometric structures on a connected Lie group G, generated by the same dynamics. Namely, Linear Control Systems, Almost Riemannian Structures, and… read more here.
Keywords: recent results; challenges geometric; geometric structures; dynamics recent ... See more keywords