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Futaki invariant on lcK manifolds with potential
Abstract
We prove that the Futaki invariant introduced by Futaki, Hattori, and Ornea vanishes identically on every compact locally conformally Kähler manifold with potential, thereby answering a question raised by Ornea and Verbitsky.
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BibTeX
@misc{perri2026futaki,
title = {{Futaki invariant on lcK manifolds with potential}},
author = {Giacomo Perri},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.25268},
eprint = {2609.25268},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.25268},
}
RIS
TY - UNPB
TI - Futaki invariant on lcK manifolds with potential
AU - Giacomo Perri
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.25268
UR - https://arxiv.org/abs/2609.25268
AB - We prove that the Futaki invariant introduced by Futaki, Hattori, and Ornea vanishes identically on every compact locally conformally Kähler manifold with potential, thereby answering a question raised by Ornea and Verbitsky.
ER -