Geometric analysis, at its core, integrates methods from differential geometry and partial differential equations to study the properties of spaces endowed with a notion of distance. Metric spaces, ...

The study of diffeomorphism groups equipped with Sobolev metrics has emerged as a powerful framework for understanding the intricate interplay between infinite‐dimensional geometry and nonlinear ...

The newly developed Huber mean provides a more stable and reliable way to compute averages for data lying on curved geometric spaces, or Riemannian manifolds. By combining the strengths of ...