Abstract
We investigate a semilinear equation and associate each almost Hermitian metric with a unique constant . Then, we show that there is no 1-st Gauduchon metric in the conformal class of an almost Hermitian metric satisfying that on a real 6-dimensional compact almost Hermitian manifold. Especially, we find that there is no pluriclosed metric in the conformal class of .
Citation
Masaya Kawamura. "NON-EXISTENCE OF 1-ST GAUDUCHON METRIC IN THE CONFORMAL CLASS OF A METRIC ON 6-DIMENSIONAL ALMOST HERMITIAN MANIFOLDS." Tsukuba J. Math. 47 (2) 215 - 237, December 2023. https://doi.org/10.21099/tkbjm/20234702215
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