Groups and Geometries
Deformation theory is a mathematical framework that studies how objects or structures can change shape, allowing for the analysis of their properties and behaviors under continuous transformations. This concept is especially relevant in understanding quasi-isometries, which are mappings that preserve distances up to a bounded distortion, thus maintaining the essential geometric properties of spaces even as they deform.
congrats on reading the definition of Deformation Theory. now let's actually learn it.