کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606095 | 1631364 | 2012 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The multiplier approach to the projective Finsler metrizability problem
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
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 Rapcsák conditions, some peculiarities of the two-dimensional case, and geodesic convexity for sprays.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 30, Issue 6, December 2012, Pages 604-621
Journal: Differential Geometry and its Applications - Volume 30, Issue 6, December 2012, Pages 604-621
نویسندگان
M. Crampin, T. Mestdag, D.J. Saunders,