English

Curvature tensor of smoothable Alexandrov spaces

Differential Geometry 2024-12-25 v3 Metric Geometry

Abstract

We prove weak convergence of curvature tensors of Riemannian manifolds for converging noncollapsing sequences with a lower bound on sectional curvature.

Keywords

Cite

@article{arxiv.2202.13420,
  title  = {Curvature tensor of smoothable Alexandrov spaces},
  author = {Nina Lebedeva and Anton Petrunin},
  journal= {arXiv preprint arXiv:2202.13420},
  year   = {2024}
}

Comments

34 pages, 4 figures