from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Not compact.
Sorry, no etymologies found.
The blow-up of singularities usually produces noncompact solutions,and the proof of convergence to the blow-up limit always depends on Shi's derivative estimates; so Shi's work is central to all the limit arguments Perelman and I use.
Xiong pioneered the study of the Ricci Flow on complete noncompact manifolds,and in addition to many beautiful arguments he proved the local derivative estimates for the Ricci Flow.
Open/closed topological string theories for noncompact, local manifolds were solved in this century by Vafa and various collaborators (with Dijkgraaf: via matrix model; with Aganagič and others: using the topological vertex).
Motivation comes from string field theory of the B-model (Kodaira-Spencer theory) for the noncompact case.
It’s taking something noncompact and making it compact!