Twisted and coupled constant scalar curvature Kähler metrics on minimal ruled surfaces

Ramesh Mete

doi:10.1016/j.bulsci.2025.103748

paper

Twisted and coupled constant scalar curvature Kähler metrics on minimal ruled surfaces

arXiv:2505.23327 · doi:10.1016/j.bulsci.2025.103748

Abstract

In this paper, we study the existence of twisted constant scalar curvature Kähler (cscK) metrics and non-existence of coupled cscK metrics on minimal ruled surfaces over a Riemann surface of genus $2$ . Moreover, we give a bound for the Chen-Cheng invariant related to Chen's continuity path for cscK problem on these ruled surfaces.

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