Bochner–Kodaira Formulas and the Type IIA Flow

Teng Fei, Duong H. Phong, Sebastien Picard, Xiangwen Zhang

Research output: Contribution to journalArticlepeer-review


A new derivation of the flow of metrics in the Type IIA flow is given. It is better adapted to the formulation of the flow as a variant of a Laplacian flow, and it uses the projected Levi–Civita connection of the metrics themselves instead of their conformal rescalings.

Original languageEnglish (US)
Article number48
JournalJournal of Geometric Analysis
Issue number2
StatePublished - Feb 2023
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Geometry and Topology


  • Bochner–Kodaira Formula
  • Type IIA equation
  • Type IIA flow
  • Type IIA structure


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