Geometric Partial Differential Equations from Unified String Theories

Abstract

An informal introduction to some new geometric partial differential equations motivated by string theories is provided. Some of these equations are also interesting from the point of view of non-Kähler geometry and the theory of non-linear partial differential equations. In particular, a survey is given of joint works of the author with Teng Fei, Bin Guo, Sebastien Picard, and Xiangwen Zhang.

Contribution to the Proceedings of the ICCM 2018, Taipei, Taiwan, 22 pages

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Cited by in corpus (6)

• Special solutions to the Type IIA flow
• Parabolic complex Monge-Ampère equations on compact Hermitian manifolds
• A new positivity condition for the curvature of Hermitian manifolds
• Convergence of Hermitian manifolds and the Type IIB flow
• Symplectic geometric flows
• Heterotic solitons on four-manifolds