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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

H. D. de Lima

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Oct 2026

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...

Marco A. L. Velásquez, H. D. de Lima, J. H. D. de Lacerda · 0 citations
Open access Sep 2026

Gap type results for submanifolds with weighted mean curvature in Gaussian space

We study complete n -dimensional submanifolds immersed in the Gaussian space $$\mathbb {G}^{n+p},$$ that is, the Euclidean space $$\mathbb {R}^{n+p}$$ endowed with its standard metric and the Gaussian weight $$e^{-|x|^2/4}$$ . More precisely, in codimension $$p\ge 2,$$ we consider submanif...

W. Barboza, H. D. de Lima, Wallace Gomes · 0 citations

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