منابع مشابه
Bending Fields, Rigidity, and the Bellows Conjecture
Aleksandrov and Pogorelov used bending fields (the velocity fields of continuous isometric deformations) to show infinitesimal rigidity of some classes of surfaces ([2] and [12]). Bending fields (and the rigidity matrix) were also successfully employed in the study of infinitesimal rigidity of polyhedra and tensegrity frameworks (see [7]). We will use these tools to re-derive a previously known...
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Whiteley [9] gives a complete characterization of the infinitesimal flexes of complete bipartite frameworks. Our work generalizes a specific infinitesimal flex to include joined graphs, a family of graphs that contain the complete bipartite graphs. We use this characterization to identify new families of counterexamples, including infinite families, in R and above to Hendrickson’s conjecture on...
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We show that there exist two cubic polynomials with connected Julia sets which are combinatorially equivalent but not topologically conjugate on their Julia sets. This disproves a conjecture by McMullen from 1995. Introduction and result Let Pd = {z + ad−2z + · · · + a0} ↔ Cd−1 be the space of monic centered polynomials of degree d > 1. Our object is to show that there exists a cubic polynomial...
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Using Margulis’s results on lattices in semisimple Lie groups, we prove the GrothendieckKatz p-Curvature Conjecture for many locally symmetric varieties, including HilbertBlumenthal modular varieties and the moduli space of abelian varieties Ag when g > 1.
متن کاملOn the Structure of the Selberg Class, Iii: Sarnak’s Rigidity Conjecture
We further recall that under Selberg orthonormality conjecture, has unique factorization into primitive functions, the only primitive function with a pole at s = 1 is the Riemann zeta function ζ(s), and Fθ(s) is a primitive function if θ ∈R and if F ∈ are primitive and entire (see [4, Section 4]). We say a primitive function F ∈ is normal if θF = 0. Assuming Selberg orthonormality conjecture, w...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2018
ISSN: 0019-3577
DOI: 10.1016/j.indag.2017.08.001