Results 41 to 50 of about 12,053 (292)

Hyperbolic Unfoldings of Minimal Hypersurfaces

Analysis and Geometry in Metric Spaces, 2018
We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
doaj   +1 more source

A History of mathematics and the previous knowledge of teachers as grants for planning a course on geometry ball and hyperbolic

Amazônia, 2014
The aim of this research was to study how the historical development of mathematics, with the backdrop of the evolution of geometry, can assist in the continuing education of mathematics’ teachers.
Wanderley Pivatto Brum
doaj   +1 more source

On the hyperbolic symplectic geometry

Journal of Combinatorial Theory, Series A, 2004
The present article provides a new characterization of the geometry on the points and hyperbolic lines of a non-degenerate symplectic polar space. This characterization is accomplished by studying the family of subspaces obtained when considering the polars of all hyperbolic lines. Let \(\mathbb W_{2n-1}(\mathbb F)\) denote the polar space with respect
openaire   +2 more sources

The theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry [PDF]

, 2009
summary:In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry.
Demirel, Oğuzhan
core   +1 more source

Impulse Gauss Curvatures [PDF]

, 2004
In Riemannian (differential) geometry, the differences between Euclidean geometry, elliptic geometry, and hyperbolic geometry are understood in terms of curvature.
Iseri, Howard
core   +1 more source

Catenoid inspired hyperbolic wormhole geometry

Physics Letters B
We unveil a novel class of traversable wormholes exhibiting exact spherical symmetry, geometrically inspired by the minimal surface structure of a catenoid.
Bikramarka S. Choudhury, Md Khalid Hossain, Farook Rahaman   +2 more
doaj   +1 more source

Residual tail twisting in ascidian larvae is stabilized by asymmetric myofibrils that resist bilateral symmetry restoration

FEBS Letters, EarlyView.
Ascidian Ciona larvae initially show strong clockwise tail twisting, which is largely corrected during development. However, a small residual twist remains. This study shows that organized helical myofibrils in tail muscles mechanically stabilize this residual asymmetry, preventing complete restoration of bilateral symmetry and revealing how embryos ...
Yuki S. Kogure, Misaki K. Nishio, Satoru Okuda, Kohji Hotta   +3 more
wiley   +1 more source

An obstruction to the strong relative hyperbolicity of a group [PDF]

, 2006
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona, Aramayona, Javier, James W. Anderson, Anderson, James W., Kenneth J. Shackleton, Shackleton, Kenneth J.   +5 more
core   +1 more source

Feature-enriched hyperbolic network geometry

Physical Review Research
Graph-structured data provide an integrated description of complex systems, encompassing not only the interactions among nodes, but also the intrinsic features that characterize these nodes.
Roya Aliakbarisani, M. Ángeles Serrano, Marián Boguñá   +2 more
doaj   +1 more source

Hyperbolic geometry and amplituhedra in 1+2 dimensions

Journal of High Energy Physics, 2018
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkani-Hamed et al.
G. Salvatori, S. L. Cacciatori
doaj   +1 more source