A Liouvile-type theorems for some classes of complete Riemannian almost product manifolds and for special mappings of complete Riemannian manifolds

2016/07/21 by Stepanov Sergey, Sergey, Stepanov
Mathematics · #53C15 #53C20 #53C23 #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1607.06266

openalex publication_date 2016/07/21 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28

Abstract

In the present paper we prove Liouville-type theorems: non-existence theorems for some complete Riemannian almost product manifolds and special mappings of complete Riemannian manifolds which generalize similar results for compact manifolds.

Related

• Liouville-type theorems for twisted and warped products manifolds
• A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds
• A Liouville theorem on complete non-Kähler manifolds
• Liouville-type theorems for conformal mappings and their application
• On holomorphic mappings between almost Hermitian manifolds