The entropy formula for the Ricci flow and its geometric applications

Perelman, G. (2002). The entropy formula for the Ricci flow and its geometric applications.

Type

Preprint

Intellectual base

Grey literature

Year

2002

Link

no authoritative link yet

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Topology
  • … its supplements, which introduced the fundamental group, established the foundations of homology theory, formulated the Poincaré conjecture (every simply-connected closed 3-manifold is homeomorphic to the 3-sphere — proved by Grigori Perelman in a series of preprints in 2002-2003 using Hamilton's Ricci flow programme

    This sourceThe proofs establish Thurston's geometrisation conjecture for closed orientable 3-manifolds and as a corollary Poincaré's conjecture.

Domain-specific

• Thurston Elliptization Conjecture
  • the proved status — the statement is used as a theorem after Perelman's completion of geometrization.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:a840cc68bf0d · see in the full table