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On weighted extremal Kähler metrics
Abstract
The notion of weighted extremal Kähler metrics extends the classical notion of Calabi's extremal Kähler metrics, but includes many well-studied objects in Kähler geometry such as Kähler-Ricci solitons and Sasaki-Einstein metrics. In this paper, after explaining how this notion grew out, we will try to survey recent works concerning the YTD conjecture on weighted extremal Kähler metrics.
Related
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BibTeX
@misc{futaki2026weighted,
title = {{On weighted extremal Kähler metrics}},
author = {Akito Futaki},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.08796},
eprint = {2605.08796},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.08796},
}
RIS
TY - UNPB
TI - On weighted extremal Kähler metrics
AU - Akito Futaki
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2605.08796
UR - https://arxiv.org/abs/2605.08796
AB - The notion of weighted extremal Kähler metrics extends the classical notion of Calabi's extremal Kähler metrics, but includes many well-studied objects in Kähler geometry such as Kähler-Ricci solitons and Sasaki-Einstein metrics. In this paper, after explaining how this notion grew out, we will try to survey recent works concerning the YTD conjecture on weighted extremal Kähler metrics.
ER -