PreprintCC BY 4.0arXiv
Sasaki-Einstein metrics on connected sums of S3× S4
Abstract
We completely characterize the n-fold connected sums of S3× S4 that admit Sasaki-Einstein structures by proving that such a structure exists if and only if n is even.
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BibTeX
@misc{jeong2026sasakieinstein,
title = {{Sasaki-Einstein metrics on connected sums of $S^3\times S^4$}},
author = {Dasol Jeong and In-Kyun Kim and Jihun Park and Joonyeong Won},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29695},
eprint = {2608.29695},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29695},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Sasaki-Einstein metrics on connected sums of S^3× S^4
AU - Dasol Jeong
AU - In-Kyun Kim
AU - Jihun Park
AU - Joonyeong Won
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29695
UR - https://arxiv.org/abs/2608.29695
AB - We completely characterize the n-fold connected sums of S^3× S^4 that admit Sasaki-Einstein structures by proving that such a structure exists if and only if n is even.
ER -