Journal article
On a class of fully nonlinear flows in Kähler geometry
Journal für die reine und angewandte Mathematik, Vol.2011(653), pp.189-220
2011
DOI: 10.1515/crelle.2011.027
Abstract
In this paper, we study a class of fully nonlinear metric flows on Kähler manifolds, which includes the J-flow as a special case. We provide a sufficient and necessary condition for the long time convergence of the flow, generalizing the result of Song–Weinkove. As a consequence, under the given condition, we solve the corresponding Euler equation, which is fully nonlinear of Monge–Ampère type. As an application, we also discuss a complex Monge–Ampère type equation including terms of mixed degrees, which was first posed by Chen.
Details
- Title: Subtitle
- On a class of fully nonlinear flows in Kähler geometry
- Creators
- Hao FangMijia LaiXinan Ma
- Resource Type
- Journal article
- Publication Details
- Journal für die reine und angewandte Mathematik, Vol.2011(653), pp.189-220
- DOI
- 10.1515/crelle.2011.027
- ISSN
- 0075-4102
- eISSN
- 1435-5345
- Language
- English
- Date published
- 2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985869002771
Metrics
22 Record Views