Essential spectrum of the weighted Laplacian on noncompact manifolds and applications

被引：0
作者：
Adina Rocha
机构：
[1] Universidade Federal de Alagoas,Instituto de Matemática
来源：
Geometriae Dedicata | 2017年 / 186卷
关键词：
Essential spectrum; Weighted Laplacian; Volume growth; Estimate; Mean curvature; Index; 53C21; 53C42; 58J50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain upper estimates for the bottom (that is, greatest lower bound) of the essential spectrum of weighted Laplacian operator of a noncompact weighted manifold under assumptions of the volume growth of their geodesic balls and spheres. Furthermore, we find examples where the equality occurs in the estimates obtained. As a consequence, we give estimates for the weighted mean curvature of complete noncompact hypersurfaces into weighted manifolds.
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页码：197 / 219
页数：22
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