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Geodesic Universality in General Relativity
Geodesic Universality Idealization Relativity Theory Einstein
2016/5/31
According to (Tamir, 2012), the geodesic principle strictly interpreted is compatible with Einstein’s field equations only in pathologically unstable circumstances and, hence, cannot play a fundamenta...
Proving the Principle:Taking Geodesic Dynamics too Seriously in Einstein's Theory
geodesic principle universality law of motion idealization approximation Einstein general relativity dynamical law phase transitions distributions
2016/5/31
In this paper I critically review the long history of attempts to formulate and derive the geodesic principle, which claims that massive bodies follow geodesic paths in general relativity theory. I ar...
Actualize of Low Altitude Large Scale Aerophotography and Geodesic base on Fixed-Wing Unmanned Aerial Vehicle Platform
System Integration Aerial Photogrammetry Digital Orthophoto Orthophoto Mapping Aerial Triangulation
2015/11/23
This paper introduces the key technologies and methods of establishing the aerial photogrammetric system using Unmanned Aerial Vehicles (UVA) photogrammetry technique for satisfying the increasing nee...
Proper affine actions and geodesic flows of hyperbolic surfaces
hyperbolic surfaces geodesic fl ows
2015/9/29
Let €0 O.2; 1/ be a Schottky group, and let † D H
2=€0 be the corresponding
hyperbolic surface. Let C.†/ denote the space of unit length geodesic currents
on †. The cohom...
The geometry of groups satisfying weak almost-convexity or weak geodesic-combability conditions
almost-convexity geodesic-combability
2015/8/26
We examine the geometry of the word problem of two different types groups: those satisfying weak almost-convexity conditions and those admitting geodesic combings whose width satisfy minimally restric...
Integrable vs. nonintegrable geodesic soliton behavior
Geodesic motion Solitons Hamiltonian system Pulsons
2015/6/30
We study confined solutions of certain evolutionary partial differential equations (PDE) in 1 + 1 space–time. The PDE we study are Lie–Poisson Hamiltonian systems for quadratic Hamiltonians defined on...
RECONSTRUCTION OF REGISTERED RANGE DATA USING GEODESIC DOME TYPE DATA STRUCTURE
Reconstruction Structure Three-dimensional
2015/3/24
Previously, we presented a method for automatic registration of real time multi-view range image obtained under the condition free
from any artificial restriction. This paper describes a method for ...
A REMARK ON GEODESIC GEOMETRY OF TEICHMULLER SPACES
GEODESIC GEOMETRY TEICHMULLER SPACES
2014/9/26
Let T (S) be the Teichm¨uller space of a hyperbolic Riemann surface S and let
Belt(S) be the Banach space of bounded measurable Beltrami differentials μ =
μdz/dz on S with L∞-norms. Suppose M(...
Negative refractive perfect lens vs Spherical geodesic lens. Perfect Imaging comparative analysis
Negative refractive perfect lens Spherical geodesic lens Imaging comparative analysis Optics
2012/4/24
Negative Refractive Lens (NRL) has shown that an optical system can produce images with details below the classic Abbe diffraction limit. This optical system transmits the electric field, emitted by t...
Geodesic restrictions of eigenfunctions on arithmetic surfaces
Geodesic restrictions of eigenfunctions arithmetic surfaces Number Theory
2012/4/23
Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of ...
Bounds on volume growth of geodesic balls under Ricci flow
geodesic balls under Ricci flow Differential Geometry Analysis of PDEs
2011/9/16
Abstract: We prove a so called $\kappa$ non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scalar cur...
The geodesic flow on a Riemannian supermanifold
The geodesic flow Riemannian supermanifold Differential Geometry
2011/8/31
Abstract: We give a natural definition of geodesics on a Riemannian supermanifold and extend the usual geodesic flow defined on the cotangent bundle of the body of the supermanifold, associated to the...
The elementary local and global influence of geodesic field line curvature on radial dispersion of zonal modes in magnetised plasmas is analysed with a primitive drift wave turbulence model.A net radi...
On the Status of the Geodesic Principle in Newtonian and Relativistic Physics
Newtonian and Relativistic Physics
2011/9/1
A theorem due to Bob Geroch and Pong Soo Jang [“Motion of a Body in General Relativity.”Journal of Mathematical Physics 16(1), (1975)] provides a sense in which the geodesic principle has the status o...
We prove a certain unexpected regularity of geodesic restrictions for the (hyperbolic) Casimir operator. We prove a nontrivial bound on L2-norm of a geodesic restriction for eigenfunctions
of the Cas...