Results 71 to 80 of about 3,863,707 (192)

Geodesic Flow on the Quotient Space of the Action of ⟨z + 2;−1/z 〉 on the Upper Half Plane

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
Let G be the group generated by z ↦ z+2 and z → -1/z , z ∈ ℂ. This group acts on the upper half plane and the associated quotient surface is topologically a sphere with two cusps.
Ahmadi Dastjerdi Dawoud, Lamei Sanaz
doaj   +1 more source

Necessary condition for the existence of a simple closed geodesic on a regular tetrahedron in the spherical space

Доповiдi Нацiональної академiї наук України
In the spherical space the curvature of the tetrahedron’s faces equals 1, and the curvature of the whole tetrahedron is concentrated into its vertices and faces. The intrinsic geometry of this tetrahedron depends on the value α of faces angle, where π/3 <
D.D. Sukhorebska
doaj   +1 more source

Geodesic Structure of Standard Static Space-Times

, 2003
The geodesic structure of standard static space-times is studied and conditions are found which imply nonreturning and pseudoconvex geodesic systems.
Ünal, B, Ünal, Bernis, Allison, DE
core   +1 more source

GEOMETRIC PROPERTIES OF GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE

, 2023
We survey geometric properties of geodesic spheres in a complex projective space. These spheres can be regarded as the simplest examples in the class of all real hypersurfaces isometrically immersed into this projective space.
Maeda, Sadahiro
core   +1 more source

The hyperbolicity constant of infinite circulant graphs

Open Mathematics, 2017
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.
Rodríguez José M., Sigarreta José M.
doaj   +1 more source

Geodesics in Asymmetric Metric Spaces

Analysis and Geometry in Metric Spaces, 2014
Abstract In a recent paper [17] we studied asymmetric metric spaces; in this context we studied the length of paths, introduced the class of run-continuous paths; and noted that there are different definitions of “length spaces” (also known as “path-metric spaces” or “intrinsic spaces”).
openaire   +3 more sources

Thermodynamic geodesics in Bardeen regular black hole: conventional vs. modified geometrothermodynamics metrics

European Physical Journal C: Particles and Fields
Thermodynamic geometry allow us to study the microscopic behavior of black hole system by defining a metric structure in thermodynamic phase space. Among the various thermodynamic metric structures, metrics defined by geometrothermodynamics (GTD) are ...
Gunindra Krishna Mahanta
doaj   +1 more source

A Brief Remark on Energy Conditions and the Geroch-Jang Theorem [PDF]

, 2011
The status of the geodesic principle in General Relativity has been a topic of some interest in the recent literature on the foundations of spacetime theories.
Weatherall, James Owen, James Owen Weatherall   +1 more
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Strolling along gauge theory vacua

Journal of High Energy Physics, 2017
We consider classical, pure Yang-Mills theory in a box. We show how a set of static electric fields that solve the theory in an adiabatic limit correspond to geodesic motion on the space of vacua, equipped with a particular Riemannian metric that we ...
Ali Seraj, Dieter Van den Bleeken
doaj   +1 more source

Strongly contracting geodesics in Outer Space [PDF]

Geometry & Topology, 2011
We study the Lipschitz metric on Outer Space and prove that fully irreducible elements of Out(F_n) act by hyperbolic isometries with axes which are strongly contracting. As a corollary, we prove that the axes of fully irreducible automorphisms in the Cayley graph of Out(F_n) are stable, meaning that a quasi-geodesic with endpoints on the axis stays ...
openaire   +3 more sources