Some comparison theorems and their applications in Finsler geometry

التفاصيل البيبلوغرافية
العنوان: Some comparison theorems and their applications in Finsler geometry
المؤلفون: Yin, Songting, He, Qun, Zheng, Daxiao
بيانات النشر: BioMed Central Ltd.
سنة النشر: 2014
المجموعة: BioMed Central
مصطلحات موضوعية: comparison theorem, Finsler-Laplacian, weighted Ricci curvature
الوصف: By using arbitrary volume forms, we establish Laplacian comparison theorems for Finsler manifolds under certain curvature conditions. As applications, some volume comparison theorems and Mckean type eigenvalue estimates of Finsler manifolds are obtained. Moreover, we also generalize Calabi-Yau’s linear volume growth theorem, and Milnor’s results on curvature and the fundamental group to the Finsler setting. MSC: 53C60, 53B40.
نوع الوثيقة: report
اللغة: English
العلاقة: http://www.journalofinequalitiesandapplications.com/content/2014/1/107Test
الإتاحة: http://www.journalofinequalitiesandapplications.com/content/2014/1/107Test
حقوق: Copyright 2014 Yin et al.; licensee Springer.
رقم الانضمام: edsbas.D4088C28
قاعدة البيانات: BASE