July 10, 2024Open Access

Classification of non-CSC extremal K\"ahler metrics on K-surfaces S²\\ and S²\, \

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Abstract

We commonly refer to an extremal K\"ahler metric with finitely many singularities on a compact Riemann surface as an HCMU (Hessian of the Curvature of the Metric is Umbilical) metric. In this study, we specifically classify non-CSC HCMU metrics on the K-surfaces S²\\ and S²\, \.

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Cite This Study

Meng et al. (Wed,) studied this question.

synapsesocial.com/papers/68e60ce9b6db6435875a0461 https://doi.org/https://doi.org/10.48550/arxiv.2407.07537

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