Zobrazeno 1 - 10
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pro vyhledávání: '"Bowers, Philip L."'
Autor:
Bowers, Philip L., Ruffoni, Lorenzo
We show that given an infinite triangulation $K$ of a surface with punctures (i.e., with no vertices at the punctures) and a set of target cone angles $\Theta$ at the punctures that satisfy a Gauss-Bonnet inequality, there exists a hyperbolic metric
Externí odkaz:
http://arxiv.org/abs/2305.03505
Suppose a relatively elliptic representation $\rho$ of the fundamental group of the thrice-punctured sphere $S$ is given. We prove that all projective structures on $S$ with holonomy $\rho$ and satisfying a tameness condition at the punctures can be
Externí odkaz:
http://arxiv.org/abs/2107.06370
Autor:
Bowers, Philip L.
This article presents a whirlwind tour of some results surrounding the Koebe-Andre'ev-Thurston Theorem, Bill Thurston's seminal circle packing theorem that appears in Chapter 13 of The Geometry and Topology of Three-Manifolds. It will appear as a cha
Externí odkaz:
http://arxiv.org/abs/2008.12357
We verify the infinitesimal inversive rigidity of almost all triangulated circle polyhedra in the Euclidean plane $\mathbb{E}^{2}$, as well as the infinitesimal inversive rigidity of tangency circle packings on the $2$-sphere $\mathbb{S}^{2}$. From t
Externí odkaz:
http://arxiv.org/abs/1807.09355
We generalize Cauchy's celebrated theorem on the global rigidity of convex polyhedra in Euclidean $3$-space $\mathbb{E}^{3}$ to the context of circle polyhedra in the $2$-sphere $\mathbb{S}^{2}$. We prove that any two convex and proper non-unitary c-
Externí odkaz:
http://arxiv.org/abs/1703.09338
Autor:
Bowers, John C., Bowers, Philip L.
We present constructions inspired by the Ma-Schlenker example of~\cite{Ma:2012hl} that show the non-rigidity of spherical inversive distance circle packings. In contrast to the use in~\cite{Ma:2012hl} of an infinitesimally flexible Euclidean polyhedr
Externí odkaz:
http://arxiv.org/abs/1607.00453
Autor:
Bowers, Philip L., Ruane, Kim
Publikováno v:
Proceedings of the American Mathematical Society, 1996 Apr 01. 124(4), 1311-1313.
Externí odkaz:
https://www.jstor.org/stable/2161782
Autor:
BOWERS, PHILIP L.1 bowers@math.fsu.edu, STEPHENSON, KENNETH2 kstephe2@utk.edu
Publikováno v:
Conformal Geometry & Dynamics. 4/26/2019, Vol. 23 Issue 4, p52-104. 53p.