Gradient Einstein-Type Structures immersed into a Riemannian Warped Product

2020/10/06 by E. Batista, Batista, E., L. Adriano +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2010.02487

openalex publication_date 2020/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study gradient Einstein-type structure immersed into a Riemannian warped product manifold. We obtain some triviality results for the potential function and smooth map u. We investigate conditions for a gradient Einstein-type structure to be minimal, totally umbilical, or totally geodesic immersed into a warped product I×_f Mⁿ. Furthermore, we characterize rotational hypersurface into ℝ×_fℝⁿ has a gradient Einstein-type structure.

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