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An Overview of Einstein 4-Manifolds
Abstract
This expository article is based in part on the author's lecture series, "Einstein Metrics, Four-Manifolds, and Differential Topology," which was delivered as a 2026 Cours de la Chaire d'Excellence for the Fondation Sciences Mathématiques de Paris.
Related
- Extremal Kähler--Ricci solitons on Fano manifolds are Kähler--Einstein
- A note on cohomogeneity one Einstein metrics on closed 4-manifolds
- Projective embedding of degenerating family of Kähler-Einstein manifolds with normal crossing limit
- Finite-Time Singularities of the Kähler--Ricci Flow on a ℂPm-Bundle over a Product of Kähler--Einstein Manifolds
- Einstein four-manifolds of positive sectional curvature and ADM mass
BibTeX
@misc{lebrun2026overview,
title = {{An Overview of Einstein 4-Manifolds}},
author = {Claude LeBrun},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.03033},
eprint = {2609.03033},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.03033},
}
RIS
TY - UNPB
TI - An Overview of Einstein 4-Manifolds
AU - Claude LeBrun
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.03033
UR - https://arxiv.org/abs/2609.03033
AB - This expository article is based in part on the author's lecture series, "Einstein Metrics, Four-Manifolds, and Differential Topology," which was delivered as a 2026 Cours de la Chaire d'Excellence for the Fondation Sciences Mathématiques de Paris.
ER -