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arXiv · 2505.23327

Twisted and coupled constant scalar curvature K\"{a}hler metrics on minimal ruled surfaces

Ramesh Mete
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Abstract

In this paper, we study the existence of twisted constant scalar curvature K\"{a}hler (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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Ramesh Mete. 2025-05-29. Twisted and coupled constant scalar curvature K\"{a}hler metrics on minimal ruled surfaces. https://doi.org/10.1016/j.bulsci.2025.103748

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