J. H. D. de Lacerda

Uniqueness and nonexistence of spacelike submanifolds with parallel mean curvature in semi-Euclidean spaces

Our purpose is to study different geometric properties of $n$-dimensional spacelike submanifolds immersed with a parallel mean curvature vector field (in abbreviation, PMC spacelike submanifolds) in an $(n+p)$-dimensional semi-Euclidean space $\mathbb{R}^{n+p}_q$ of arbitrary index $q\in\{1,\ldots,p\}$. Under suitable...