 Rigidity (mathematics)

In mathematics, rigidity typically refers to a property of geometric shapes, structures, or spaces that indicates their inability to change shape without altering the lengths of their constituent parts. This concept can be applied in various fields such as geometry, topology, and differential geometry. Here are a few contexts in which rigidity is commonly discussed: 1. **Rigidity in Geometric Structures**: A structure is rigid if it cannot be deformed into a different shape without changing the distances between points.