Scholarlink

<p>In this paper, we apply several maximum principles to establish uniqueness and nonexistence results concerning solitons of the spacelike weighted mean curvature flow in a spatially weighted generalized Robertson-Walker (GRW) spacetime, under suitable constraints on the Bakry–Émery-Ricci tensor of the Riemannian fiber of the ambient space. As applications, we obtain new Calabi–Bernstein type results related to the weighted mean curvature equation in a spatially weighted GRW spacetime.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Solitons of the spacelike weighted mean curvature flow in spatially GRW spacetimes and the weighted mean curvature equation

  • 期刊论文

  • 发表日期：

    2025年8月2日

查看全文
  • Cícero P. Aquino,
  • Henrique F. de Lima,
  • Gustavo S. Dias

摘要

In this paper, we apply several maximum principles to establish uniqueness and nonexistence results concerning solitons of the spacelike weighted mean curvature flow in a spatially weighted generalized Robertson-Walker (GRW) spacetime, under suitable constraints on the Bakry–Émery-Ricci tensor of the Riemannian fiber of the ambient space. As applications, we obtain new Calabi–Bernstein type results related to the weighted mean curvature equation in a spatially weighted GRW spacetime.