Geometric flows and Strominger systems
By Duong H. Phong, Sebastien Picard, Xiangwen Zhang. 2015
105 citations recorded by the source corpus.
A geometric flow on (2, 2)-forms is introduced which preserves the balanced condition of metrics, and whose stationary points satisfy the anomaly equation in Strominger systems. The existence of solutions for a short time is established, using Hamilton’s version of the Nash–Moser implicit function theorem.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/eadea45997cc4cc2c329d64547f0b570fb29c926
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Sebastien Picard
- Duong H. Phong
- Xiangwen Zhang
- Dat T. To
- Fabio Paradiso
- Anna Fino
- Valentino Tosatti
- B. Weinkove
In Geometry and Topology
- Duong H. Phong
- Xiangwen Zhang
- Sebastien Picard
- Dat T. To
- Fabio Paradiso
- Anna Fino
- Valentino Tosatti
- B. Weinkove
Citations in the corpus
- Fu–Yau Hessian equations (2018, methodology): “An example of such an estimate is the C estimate stated in Theorem 3 below, CM ≤ e ≤ CM , which is a version in the present context of similar C estimates established earlier in [10, 11, 20].”
- Balanced Hermitian structures on almost abelian Lie algebras (2020, background): “The anomaly flow, introduced in [49, 50] is a flow of (2, 2)-forms on a complex 3-fold which arises from the Hull-Strominger system [39, 54], in the context of heterotic string theory.”
- Fully non-linear parabolic equations on compact Hermitian manifolds (2017, background): “A prime example is the Anomaly flow, studied in [33, 36, 37, 38, 13].”