2 papers
math.DG2025
Existence of Conical Higher cscK Metrics on a Minimal Ruled Surface
Rajas Sandeep Sompurkar
A higher extremal Kähler metric is defined (motivated by analogy with the definition of an extremal Kähler metric) as one whose top Chern form equals a smooth function multiplied b…
math.DG2023
Existence of Higher Extremal Kähler Metrics on a Minimal Ruled Surface
Rajas Sandeep Sompurkar
In this paper we prove that on a special type of minimal ruled surface, which is an example of a `pseudo-Hirzebruch surface', every Kähler class admits a certain kind of `higher ex…