Research Project
Grant-in-Aid for Research Activity Start-up
A fundamental question of differential geometry is whether a complex algebraic manifold in higher dimension admits a canonical metric. In the most natural formalism it is conjectured that a polarized manifold admits a constant scalar curvature Kahler metric if and only if it satisfies a purely algebraic, so-called K-stability condition. We studied more stronger "uniform k-stability" and showed that the it corresponds to the growth condition of the canonical energy functional which characterizes the constant scalar curvature Kahler metric as a critical point. Our study also provides a new approach to the original conjecture.
All 2017 2016 2015
All Journal Article (2 results) (of which Peer Reviewed: 2 results, Acknowledgement Compliant: 2 results) Presentation (8 results) (of which Int'l Joint Research: 3 results, Invited: 4 results)
Annales de l'Institut Fourier
Volume: 印刷中
European Journal of Mathematics
