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Recent Advances in Metallic Riemannian Geometry: A Comprehensive Review

Differential Geometry 2024-08-13 v1

Abstract

Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in differential geometry. Building upon this concept, C. E. Hre\c{t}canu 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.

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Cite

@article{arxiv.2408.05318,
  title  = {Recent Advances in Metallic Riemannian Geometry: A Comprehensive Review},
  author = {Bang-Yen Chen and Majid Ali Choudhary and Afshan Perween},
  journal= {arXiv preprint arXiv:2408.05318},
  year   = {2024}
}

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47 pages