کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4667402 1345457 2008 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Closed geodesics on positively curved Finsler spheres
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Closed geodesics on positively curved Finsler spheres
چکیده انگلیسی

In this paper, we prove that for every Finsler n-sphere (Sn,F) for n⩾3 with reversibility λ and flag curvature K satisfying , either there exist infinitely many prime closed geodesics or there exists one elliptic closed geodesic whose linearized Poincaré map has at least one eigenvalue which is of the form exp(πiμ) with an irrational μ. Furthermore, there always exist three prime closed geodesics on any (S3,F) satisfying the above pinching condition.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 218, Issue 5, 1 August 2008, Pages 1566-1603