2024/08/09 by Bang‐Yen Chen, Chen, Bang-Yen, Majid Ali Choudhary +3
Mathematics · Physics and Astronomy · #11B39 #53B05 #53B20 #53B25 #53C15 #53C20 #53C25 #53C35 #53C40 #53C42 #53C50 #53C75 #Advanced Differential Geometry Research #Advanced Mathematical Theories and Applications #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2408.05318
openalex publication_date 2024/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in differential geometry. Building upon this concept, C. E. Hreţcanu and M. Crasmareanu laid the foundation for metallic Riemannian manifolds in 2013. The field's rich potential and diverse applications have since attracted significant research efforts, leading to a wealth of valuable insights. This review delves into the latest advances in metallic Riemannian geometry, a rapidly progressing area within the broader field of differential geometry.