تقرير
A counterexample to marked length spectrum semi-rigidity
العنوان: | A counterexample to marked length spectrum semi-rigidity |
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المؤلفون: | Gogolev, Andrey, Reber, James Marshall |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Dynamical Systems |
الوصف: | Given a closed orientable negatively curved Riemannian surface $(M,g)$, we show how to construct a perturbation $(M,g^\prime)$ such that each closed geodesic becomes longer, and yet there is no diffeomorphism $f : (M,g^\prime) \rightarrow (M,g)$ which contracts every tangent vector. Comment: 11 pages, 3 figures. Comments are welcome! |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2309.10882 |
رقم الأكسشن: | edsarx.2309.10882 |
قاعدة البيانات: | arXiv |
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