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 |