Remarks on modified Ding functional for toric Fano manifolds

Abstract

We give a characterization of relative Ding stable toric Fano manifolds in terms of the behavior of the modified Ding functional. We call the corresponding behavior of the modified Ding functional the pseudo-boundedness from below. We also discuss the pseudo-boundedness of the Ding / Mabuchi functional of general Fano manifolds.

arXiv comment9 pages

References in corpus (4)

• Mabuchi Solitons and Relative Ding Stability of Toric Fano Varieties
• Yau-Tian-Donaldson correspondence for K-semistable Fano manifolds
• Mabuchi metrics and properness of the modified DING functional
• Generalized Kähler Einstein metrics and uniform stability for toric Fano manifolds

Cited by in corpus (2)

• Mabuchi Solitons and Relative Ding Stability of Toric Fano Varieties
• Relative Ding and $K$-stability of toric Fano manifolds in low dimensions