• Corpus ID: 119280886

Geometry of Defects in Solids

  title={Geometry of Defects in Solids},
  author={Ayan Roychowdhury and Anurag Gupta},
  journal={arXiv: Materials Science},
The appealing connection between non-Euclidean geometries and defects in solids is brought forth in this article. Drawing a correspondence between the nature of a defect and a specific geometric property of the material space not only illuminates the underlying structure of defects in solids but also provides an unambiguous way to represent defect densities within a physical theory. We present a rigorous background of the relevant concepts from classical differential geometry, as well as… 
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