Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Boundary rigidity for Randers metrics
View through CrossRef
If a non-reversible Finsler norm is the sum of a reversible Finsler norm and a closed 1-form, then one can uniquely recover the 1-form up to potential fields from the boundary distance data. We also show a boundary rigidity result for Randers metrics where the reversible Finsler norm is induced by a Riemannian metric which is boundary rigid. Our theorems generalize Riemannian boundary rigidity results to some non-reversible Finsler manifolds. We provide an application to seismology where the seismic wave propagates in a moving medium.
Title: Boundary rigidity for Randers metrics
Description:
If a non-reversible Finsler norm is the sum of a reversible Finsler norm and a closed 1-form, then one can uniquely recover the 1-form up to potential fields from the boundary distance data.
We also show a boundary rigidity result for Randers metrics where the reversible Finsler norm is induced by a Riemannian metric which is boundary rigid.
Our theorems generalize Riemannian boundary rigidity results to some non-reversible Finsler manifolds.
We provide an application to seismology where the seismic wave propagates in a moving medium.
Related Results
The Teichmüller–Randers metric
The Teichmüller–Randers metric
In this paper, we introduce a new asymmetric weak metric on the Teichmüller space of a closed orientable surface with (possibly empty) punctures. This new metric, which we call the...
THE SECURITY AND PRIVACY MEASURING SYSTEM FOR THE INTERNET OF THINGS DEVICES
THE SECURITY AND PRIVACY MEASURING SYSTEM FOR THE INTERNET OF THINGS DEVICES
The purpose of the article: elimination of the gap in existing need in the set of clear and objective security and privacy metrics for the IoT devices users and manufacturers and a...
(121) Validation of a Digital Rigidometer for the Evaluation of Erection Hardness During In-office Rigidity Assessment in Patients with Erectile Dysfunction
(121) Validation of a Digital Rigidometer for the Evaluation of Erection Hardness During In-office Rigidity Assessment in Patients with Erectile Dysfunction
Abstract
Introduction
The evaluation of erectile function should include the measurement of axial rigidity, since it is one of t...
The vertical distribution of PM2.5 and boundary-layer structure during winter haze in Nanjing
The vertical distribution of PM2.5 and boundary-layer structure during winter haze in Nanjing
<p>At the end of November 2018, a heavy air pollution event was recorded by many meteorological stations in the Yangtze River Delta (YRD), China. The local PM2.5 conc...
The isoperimetric problem in Randers plane
The isoperimetric problem in Randers plane
In 1947, Busemann observed that a Minkowski circle need not be a solution of the isoperimetric problem in a Minkowski plane. Li and Mo recently showed that the Euclidean circles ce...
Corporate environmental reporting: what's in a metric?
Corporate environmental reporting: what's in a metric?
AbstractAlthough there has been increased attention to corporate environmental reports (CERs), there has yet to be a close examination of the metrics used in these reports. Metrics...
Helmholtz Hamiltonian Mechanics Electromagnetic Physics Gaging Generalizing Mass-Charge and Charge-Fields Gage Metrics to Quantum Relativity Gage Metrics
Helmholtz Hamiltonian Mechanics Electromagnetic Physics Gaging Generalizing Mass-Charge and Charge-Fields Gage Metrics to Quantum Relativity Gage Metrics
This article will continue ansatz gage matrix of Iyer Markoulakis Helmholtz Hamiltonian mechanics points’ fields gage to Pauli Dirac monopole particle fields ansatz gage ...
Metrics and epistemic injustice
Metrics and epistemic injustice
PurposeThis paper examines the socio-political affordances of metrics in research evaluation and the consequences of epistemic injustice in research practices and recorded knowledg...