کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5778367 | 1633770 | 2017 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Resonance identity and multiplicity of non-contractible closed geodesics on Finsler RPn
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we establish first the resonance identity for non-contractible homologically visible prime closed geodesics on Finsler n-dimensional real projective space (RPn,F) when there exist only finitely many distinct non-contractible closed geodesics on (RPn,F), where the integer nâ¥2. Then as an application of this resonance identity, we prove the existence of at least two distinct non-contractible closed geodesics on RPn with a bumpy and irreversible Finsler metric. Together with two previous results on bumpy and reversible Finsler metrics in [14] and [39], it yields that every RPn with a bumpy Finsler metric possesses at least two distinct non-contractible closed geodesics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 318, 1 October 2017, Pages 158-190
Journal: Advances in Mathematics - Volume 318, 1 October 2017, Pages 158-190
نویسندگان
Hui Liu, Yuming Xiao,