Bounded geometry, growth and topology
Renata Grimaldi (DMMM), Pierre Pansu (DMA)
TL;DR
This paper characterizes the growth functions of Riemannian manifolds with bounded geometry, providing insights into their geometric and topological properties.
Contribution
It introduces a characterization of growth types for Riemannian manifolds with bounded geometry, linking growth functions to geometric constraints.
Findings
Identifies specific growth functions compatible with bounded geometry
Establishes a correspondence between growth types and manifold topology
Provides criteria for growth functions in bounded geometry contexts
Abstract
We characterize functions which are growth types of Riemannian manifolds of bounded geometry.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · advanced mathematical theories · Advanced Mathematical Modeling in Engineering