Results 61 to 70 of about 3,863,707 (192)

Teichmüller space is totally geodesic in Goldman space [PDF]

Asian Journal of Mathematics, 2016
We construct a new Riemannian metric on Goldman space $\mathcal{B}(S)$, the space of the equivalence classes of convex projective structures on the surface $S$, and then prove the new metric, as well as the metric of Darvishzadeh and Goldman, restricts to be the Weil-Petersson metric on Teichm$\ddot{u}$ller space, embedded as a submanifold of Goldman ...
openaire   +1 more source

Mathematical Properties of the Hyperbolicity of Circulant Networks

Advances in Mathematical Physics, 2015
If X is a geodesic metric space and x1,x2,x3∈X, a geodesic triangle   T={x1,x2,x3} is the union of the three geodesics [x1x2], [x2x3], and [x3x1] in X.
Juan C. Hernández, José M. Rodríguez, José M. Sigarreta   +2 more
doaj   +1 more source

Geodesic growth of numbered graph products (code)

, 2023
The files here are a supplement to our paper Geodesic growth of numbered graph products (arXiv:2208.13095). racg.pdf contains detailed calculations using Theorem 6.4 from the above paper.
Vincent Solon, Frank Zheng, Lindsay Marjanski, Kathleen Zopff   +3 more
core   +1 more source

On the Space of Oriented Geodesics of Hyperbolic 3-Space

Rocky Mountain Journal of Mathematics, 2010
We construct a Kähler structure (${\mathbb{J}},Ω,{\mathbb{G}}$) on the space ${\mathbb{L}}({\mathbb{H}}^3)$ of oriented geodesics of hyperbolic 3-space ${\mathbb{H}}^3$ and investigate its properties. We prove that (${\mathbb{L}}({\mathbb{H}}^3),{\mathbb{J}})$ is biholomorphic to ${\mathbb{P}}^1\times{\mathbb{P}}^1-\barΔ$, where $\barΔ$ is the ...
Georgiou, Nikos, Guilfoyle, Brendan
openaire   +4 more sources

An investigation of strong edge geodesic number on m-polar fuzzy environment and its application.

PLoS ONE
For crisp graphs, the notion of edge geodesic numbers has been known for a long time. But lately, the focus has shifted to investigating this idea in fuzzy graphs, which has resulted in studies of a number of properties.
Tanmoy Mahapatra, Ebenezer Bonyah, Madhumangal Pal   +2 more
doaj   +1 more source

Inertial motion, explanation, and the foundations of classical spacetime theories [PDF]

, 2012
I begin by reviewing some recent work on the status of the geodesic principle in general relativity and the geometrized formulation of Newtonian gravitation.
Weatherall, James Owen
core  

Geodesics in persistence diagram space

CoRR, 2019
20 pages, 4 figures. Comments welcome!
openaire   +2 more sources

On geodesic mappings of threesymmetric spaces

Pracì Mìžnarodnogo Geometričnogo Centru
The paper is devoted to the study of properties of pseudo-Riemannian spaces admitting nontrivial geodesic mappings. Necessary and sufficient conditions are found for A-threesymmetric spaces to admit nontrivial geodesic mappings.
Volodymyr Kiosak, Olexandr Prishlyak, Olena Gudyreva   +2 more
doaj   +1 more source

Metric properties of outer space

We define metrics on Culler-Vogtmann space, which are an analogue of the Teichmuller metric and are constructed using stretching factors. In fact the metrics we study are related, one being a symmetrised version of the other.
Francaviglia, Stefano, Martino, Armando
core   +1 more source

Strolling along gravitational vacua

Journal of High Energy Physics, 2020
We consider General Relativity (GR) on a space-time whose spatial slices are compact manifolds M with non-empty boundary ∂M. We argue that this theory has a non-trivial space of ‘vacua’, consisting of spatial metrics obtained by an action on a reference ...
Emine Şeyma Kutluk, Ali Seraj, Dieter Van den Bleeken   +2 more
doaj   +1 more source