2016/02/11 by Carlos A. Arango, Carlos Alberto Marín Arango, Arango, Carlos Alberto Marín +2
Mathematics · #53A15 #53B05 #53C10 #53C30 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53A15 #msc:53B05 #msc:53C10 #msc:53C30
paper · pdf · doi:10.48550/arxiv.1602.03923
9 pages
arxiv created 2016/02/11 · openalex publication_date 2016/02/11 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We explore the class of triples (M, nabla, P) where M is a manifold, nabla is an affine connection in M and P is a G-structure in M. Inside this class there are infinitesimally homogeneous manifolds, characterized by having G-constant curvature, torsion and inner torsion. For each matrix Lie group G subgroup of GL(Rn) there is a class of infinitesimally homogeneous manifolds with structure group G. In this paper we characterize the classes of infinitesimally homogeneous manifolds for some specific values of the structure group G including: identity group, finite groups, diagonal group, special linear group, orthogonal group and unitary group.