Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Ballas, Samuel A."'
Frames in finite-dimensional vector spaces are spanning sets of vectors which provide redundant representations of signals. The Parseval frames are particularly useful and important, since they provide a simple reconstruction scheme and are maximally
Externí odkaz:
http://arxiv.org/abs/2312.13488
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
In this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to $M \times [0, \infty)$ where $M$ is a closed Euclidean manifold. These are classified in [2]. The marked moduli space is homeomorph
Externí odkaz:
http://arxiv.org/abs/2008.09553
Autor:
Ballas, Samuel A., Casella, Alex
Given an orientable ideally triangulated $3$--manifold $M$, we define a system of real valued equations and inequalities whose solutions can be used to construct projective structures on $M$. These equations represent a unifying framework for the cla
Externí odkaz:
http://arxiv.org/abs/1912.12508
Autor:
Ballas, Samuel A.
Publikováno v:
Pacific J. Math. 309 (2020) 257-266
In this paper we produce many examples of thin subgroups of special linear groups that are isomorphic to the fundamental groups of non-arithmetic hyperbolic manifolds. Specifically, we show that the non-arithmetic lattices in $\mathrm{SO}(n,1)$ const
Externí odkaz:
http://arxiv.org/abs/1911.06933
Autor:
Ballas, Samuel, Long, D. D.
Publikováno v:
Algebr. Geom. Topol. 20 (2020) 2071-2093
In this paper we use techniques from convex projective geometry to produce many new examples of thin subgroups of lattices in special linear groups that are isomorphic to the fundamental groups of finite volume hyperbolic manifolds. More specifically
Externí odkaz:
http://arxiv.org/abs/1809.02689
Autor:
Ballas, Samuel A
We prove that non-compact finite volume hyperbolic 3-manifolds that satisfy a mild cohomological condition (infinitesimal rigidity) admit a family of properly convex deformations of their complete hyperbolic structure where the ends become generalize
Externí odkaz:
http://arxiv.org/abs/1805.09274
A generalized cusp $C$ is diffeomorphic to $[0,\infty)$ times a closed Euclidean manifold. Geometrically $C$ is the quotient of a properly convex domain by a lattice, $\Gamma$, in one of a family of affine groups $G(\psi)$, parameterized by a point $
Externí odkaz:
http://arxiv.org/abs/1710.03132
Let $X$ be a negatively curved symmetric space and $\Gamma$ a non-cocompact lattice in $\rm{Isom}(X)$. We show that small, parabolic-preserving deformations of $\Gamma$ into the isometry group of any negatively curved symmetric space containing $X$ r
Externí odkaz:
http://arxiv.org/abs/1702.00508
Autor:
Ballas, Samuel A., Marquis, Ludovic
In this paper we show that bending a finite volume hyperbolic $d$-manifold $M$ along a totally geodesic hypersurface $\Sigma$ results in a properly convex projective structure on $M$ with finite volume. We also discuss various geometric properties of
Externí odkaz:
http://arxiv.org/abs/1609.03046