A counterexample to marked length spectrum semi-rigidity

التفاصيل البيبلوغرافية
العنوان: A counterexample to marked length spectrum semi-rigidity
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