The entropy formula for the Ricci flow and its geometric applications

Statement

Establishes the entropy formula for Ricci flow, monotonicity expressions, and non-collapsing theorems. Foundational for the proof of Poincaré and Thurston geometrization.

Formula

Entropy formula; non-collapsing

Source

Perelman, G. (2002). The entropy formula for the Ricci flow and its geometric applications. arXiv:math/0211159.

Domains

mathematics

People

• Grigori Perelman
• Henri Poincaré

Related

• Theorem: The entropy formula for the Ricci flow and its geometric applications
• Proof: The entropy formula for the Ricci flow and its geometric applications

Explore

• Dashboard
• Theorems
• Frameworks
• Lineage
• People