Flexibility of Codimension One C^{1,θ} Isometric Immersions.

This research investigates the flexibility of codimension one $C^{1,\theta}$ isometric immersions, building upon the groundbreaking work in the field of isometric embedding and flexibility. Understanding the extent to which geometric objects can be deformed while preserving their intrinsic metrics is crucial for applications in material science, where flexible structures are designed, and in computer graphics for realistic shape modeling and animation. The paper's findings contribute to a deeper theoretical understanding of such deformations, potentially influencing the design of adaptive materials or the development of advanced simulation techniques.