Papers

Papers:

• Cyclic Higgs bundles, subharmonic functions, and the Dirichlet problem, preprint, arXiv: 2309.08465, submitted.

• Generalizations of Hermitian-Einstein equation of cyclic Higgs bundles, their heat equation, and inequality estimates, preprint, arXiv:2301.01584, submitted.

• Restriction of Donaldson's functional to diagonal metrics on Higgs bundles with non-holomorphic Higgs fields, preprint, arXiv:2301.01485. This paper is currently under revision. 

• Uniformizations of compact Sasakian manifolds, International Mathematics Research Notices, 2023;, rnad227.  arXiv:2211.16713. This is a joint work with Hisashi Kasuya.

• Generalized Kazdan-Warner equations on foliated manifolds, preprint, arXiv:2204.01253, submitted.

• On diagonal pluriharmonic metrics of $G$-Higgs bundles, Indian Journal of Pure and Applied Mathematics (2023): 1-5.  arXiv:2111.07330 .

• Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space, Geom Dedicata 214, 651–669 (2021). arXiv:2002.09141 .

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