التفاصيل البيبلوغرافية
| العنوان: |
The multiplier approach to the projective Finsler metrizability problem |
| المؤلفون: |
Tom Mestdag, Michael Crampin, David Saunders |
| المصدر: |
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS |
| بيانات النشر: |
Elsevier BV, 2012. |
| سنة النشر: |
2012 |
| مصطلحات موضوعية: |
Tangent bundle, Mathematics - Differential Geometry, Pure mathematics, Geodesic, Geodesic convexity, 53C60, 01 natural sciences, Convexity, CALCULUS, Tensor field, Spray, Projective metrizability, Strong convexity, 0502 economics and business, FOS: Mathematics, 0101 mathematics, Projective test, Multiplier, Mathematics, 010102 general mathematics, 05 social sciences, Inverse problem, Finsler function, Projective equivalence, Mathematics and Statistics, Differential Geometry (math.DG), Computational Theory and Mathematics, Mathematics - Symplectic Geometry, Symplectic Geometry (math.SG), Multiplier (economics), HILBERTS 4TH PROBLEM, Mathematics::Differential Geometry, Geometry and Topology, INVERSE PROBLEM, 050203 business & management, Analysis |
| الوصف: |
This paper is concerned with the problem of determining whether a projective-equivalence class of sprays is the geodesic class of a Finsler function. We address both the local and the global aspects of this problem. We present our results entirely in terms of a multiplier, that is, a type (0,2) tensor field along the tangent bundle projection. In the course of the analysis we consider several related issues of interest including the positivity and strong convexity of positively-homogeneous functions, the relation to the so-called Rapcs\'ak conditions, some peculiarities of the two-dimensional case, and geodesic convexity for sprays.
Comment: 25 pages |
| وصف الملف: |
application/pdf |
| تدمد: |
0926-2245 |
| DOI: |
10.1016/j.difgeo.2012.07.004 |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f85b7e50dbcbc1062c8515061d000415 |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....f85b7e50dbcbc1062c8515061d000415 |
| قاعدة البيانات: |
OpenAIRE |