Geometric inequalities for quasi-Einstein manifolds

التفاصيل البيبلوغرافية
العنوان: Geometric inequalities for quasi-Einstein manifolds
المؤلفون: Diógenes, Rafael, Gonçalves, Jaciane, Ribeiro Jr, Ernani
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Differential Geometry
الوصف: In this article, we investigate some geometric inequalities for quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary estimates and an isoperimetric type inequality for compact quasi-Einstein manifolds with boundary. Boundary estimates in terms of the first eigenvalue of the Jacobi operator and the Hawking mass are also established. In particular, we present a Heintze-Karcher type inequality for a compact domain on a quasi-Einstein manifold.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.03284
رقم الأكسشن: edsarx.2406.03284
قاعدة البيانات: arXiv