Liouville-type theorems for twisted and warped products manifolds

2016/08/11 by С. Е. Степанов, Stepanov, Sergey
Mathematics · #53C12 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1608.03590

openalex publication_date 2016/08/11 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

Abstract

In the present paper we prove Liouville-type theorems: non-existence theorems for complete twisted and warped products of Riemannian manifolds which generalize and complement similar results for compact manifolds.

Citations

• Twisted products in pseudo-Riemannian geometry

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