geometric_flow_homotopy

What problem does it solve?

Deform geometric objects continuously or via a PDE-driven flow (Ricci flow, mean curvature flow) to canonical forms, enabling rigorous proofs of topological or geometric theorems by studying the flow's long-time behavior.

Core Features & Use Cases

• Provides geometric-flow templates (Ricci flow, mean curvature flow style) to synthesize canonical forms and simplify complex geometries.
• Supports explicit homotopy constructions, deformation retracts, and fundamental group analyses within Lean 4.
• Use case: formalize a homotopy equivalence between spaces in Lean to validate invariants and guide theorem proofs.

Quick Start

Describe a Lean 4 proof skeleton that demonstrates a homotopy between two maps using the provided templates.