کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
13454724 | 1844315 | 2020 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let P be a submanifold properly immersed in a rotationally symmetric manifold having a pole and endowed with a weight eh. The aim of this paper is twofold. First, by assuming certain control on the h-mean curvature of P, we establish comparisons for the h-capacity of extrinsic balls in P, from which we deduce criteria ensuring the h-parabolicity or h-hyperbolicity of P. Second, we employ functions with geometric meaning to describe submanifolds of bounded h-mean curvature which are confined into some regions of the ambient manifold. As a consequence, we derive half-space and Bernstein-type theorems generalizing previous ones. Our results apply for some relevant h-minimal submanifolds appearing in the singularity theory of the mean curvature flow.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis - Volume 192, March 2020, 111681
Journal: Nonlinear Analysis - Volume 192, March 2020, 111681
نویسندگان
A. Hurtado, V. Palmer, C. Rosales,