Geometric Partial Differential Equations from Unified String Theories

2019/06/09 by Phong, Duong H. · 1 citation
#Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1906.03693

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.

Cited by

• The canonical symmetry reduction of string backgrounds

Related

• Differential Equations in Special Kahler Geometry
• Theory of characteristics for first order partial differential equations
• Geometry and nonlinear analysis
• Geometric Methods in Partial Differential Equations
• Algebraic Approaches to Partial Differential Equations