A dynamical approach to the Sard problem in Carnot groups

التفاصيل البيبلوغرافية
العنوان: A dynamical approach to the Sard problem in Carnot groups
المؤلفون: Boarotto, Francesco, Vittone, Davide
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry, Mathematics - Optimization and Control
الوصف: We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajectories of suitable dynamical systems. As an applications, we positively answer the Sard problem in some classes of Carnot groups.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1908.11120
رقم الأكسشن: edsarx.1908.11120
قاعدة البيانات: arXiv