2021/11/11 by Fatima Zohra Kadı, Fatima Zohra Kadi, Bouazza Kacimi +6
Engineering · Mathematics · Physics and Astronomy · #53C30 #53C43 #Acoustics #Advanced Differential Geometry Research #Combinatorics #Computer science #Cotangent bundle #Differential Geometry (math.DG) #Engineering #FOS: Mathematics #Fundamental theorem of Riemannian geometry #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Harmonic #Lift (data mining) #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Metric (unit) #Metric connection #Parallelizable manifold #Physics #Pure mathematics #Ricci curvature #Tangent bundle #Tangent space #Topology (electrical circuits) #Trigonometric functions #math.DG #msc:53C30 #msc:53C43
paper · pdf · doi:10.48550/arxiv.2111.06117
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2021/11/11 · arxiv created 2022/01/09 · arxiv updated 2022/01/11 · openalex created_date 2022/05/05 · openalex updated_date 2026/08/06
In this paper, we prove that the harmonicity of a metric on a pseudo-Riemannian manifold is equivalent to the harmonicity of both its Sasaki (resp. horizontal and complete) lift metric on the tangent bundle and its Sasaki lift metric on the cotangent bundle. Some applications are included.