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Geometric and combinatorial structure of a class of spherical folding tessellations – I

Catarina P. Avelino, Altino F. Santos (2017)

Czechoslovak Mathematical Journal

A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one will be addressed....

Geometric hyperquasigroups and line spaces

Guiseppe Tallini (1984)

Acta Universitatis Carolinae. Mathematica et Physica

Geometric Invariant Theory and Generalized Eigenvalue Problem II

Nicolas Ressayre (2011)

Annales de l’institut Fourier

Let $G$ be a connected reductive subgroup of a complex connected reductive group $\hat{G}$ . Fix maximal tori and Borel subgroups of $G$ and $\hat{G}$ . Consider the cone $ℒ ℛ^{\circ} (G, \hat{G})$ generated by the pairs $(ν, \hat{ν})$ of strictly dominant characters such that $V_{ν}^{*}$ is a submodule of $V_{\hat{ν}}$ . We obtain a bijective parametrization of the faces of $ℒ ℛ^{\circ} (G, \hat{G})$ as a consequence of general results on GIT-cones. We show how to read the inclusion of faces off this parametrization.

Geometric quasi-isometric embeddings into Thompson's group $F$ .

Cleary, Sean, Taback, Jennifer (2003)

The New York Journal of Mathematics [electronic only]

Geometric Realizations for Dyck's Regular Map on a Surface of Genus 3.

J.M. Wills, E. Schulte (1986)

Discrete & computational geometry

Geometric realizations of substitutions

Charles Holton, Luca Q. Zamboni (1998)

Bulletin de la Société Mathématique de France

Geometric subgroups of surface braid groups

Luis Paris, Dale Rolfsen (1999)

Annales de l'institut Fourier

Let $M$ be a surface, let $N$ be a subsurface, and let $n \leq m$ be two positive integers. The inclusion of $N$ in $M$ gives rise to a homomorphism from the braid group $B_{n} N$ with $n$ strings on $N$ to the braid group $B_{m} M$ with $m$ strings on $M$ . We first determine necessary and sufficient conditions that this homomorphism is injective, and we characterize the commensurator, the normalizer and the centralizer of $π_{1} N$ in $π_{1} M$ . Then we calculate the commensurator, the normalizer and the centralizer of $B_{n} N$ in $B_{m} M$ for large surface braid...

Geometrically constructed bases for homology of non-crossing partition lattices.

Kenny, Aisling (2009)

The Electronic Journal of Combinatorics [electronic only]

Géométrie d'une famille de groupes agissant sur le produit de deux variétés d'Hadamard

Françoise Dal'bo (1996/1997)

Séminaire de théorie spectrale et géométrie

Geometry and analytic theory of Frobenius manifolds.

Dubrovin, Boris (1998)

Documenta Mathematica

Geometry of compactifications of locally symmetric spaces

Lizhen Ji, Robert Macpherson (2002)

Annales de l’institut Fourier

For a locally symmetric space $M$ , we define a compactification $M \cup M (\infty)$ which we call the “geodesic compactification”. It is constructed by adding limit points in $M (\infty)$ to certain geodesics in $M$ . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give $M (\infty)$ for locally symmetric spaces. Moreover, $M (\infty)$ has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...

Geometry of Free Products.

Ravi S. Kulkarni (1986)

Mathematische Zeitschrift

Geometry of pseudocharacters.

Manning, Jason Fox (2005)

Geometry & Topology

G-invariant quadratic forms.

Wolfgang Willems, Peter Sin (1991)

Journal für die reine und angewandte Mathematik

Glatte Einbettungen von G-U .

Franz Pauer (1983)

Mathematische Annalen

Gleichungen in freien Produkten mit Amalgam.

Gerhard Rosenberger (1980)

Mathematische Zeitschrift

Gli universi ipersferici, il gruppo conforme ed il campo gravitazionale di Newton.

Giuseppe Arcidiacono (1985)

Collectanea Mathematica

Global actions, groupoid atlases and applications.

Bak, A., Brown, R., Minian, G., Porter, T. (2006)

Journal of Homotopy and Related Structures

Global left loop structures on spheres

Michael K. Kinyon (2000)

Commentationes Mathematicae Universitatis Carolinae

On the unit sphere $𝕊$ in a real Hilbert space $𝐇$ , we derive a binary operation $⊙$ such that $(𝕊, ⊙)$ is a power-associative Kikkawa left loop with two-sided identity $𝐞_{0}$ , i.e., it has the left inverse, automorphic inverse, and $A_{l}$ properties. The operation $⊙$ is compatible with the symmetric space structure of $𝕊$ . $(𝕊, ⊙)$ is not a loop, and the right translations which fail to be injective are easily characterized. $(𝕊, ⊙)$ satisfies the left power alternative and left Bol identities “almost everywhere” but not everywhere....

Global rigidity of solvable group actions on $S^{1}$ .

Burslem, Lizzie, Wilkinson, Amie (2004)

Geometry & Topology

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