The Ricci-flatness that lurks in weight
Publication type: Journal Article
Publication date: 2024-12-09
scimago Q1
wos Q1
SJR: 0.988
CiteScore: 2.8
Impact factor: 1.7
ISSN: 11391138, 19882807
Abstract
We introduce two constructions to obtain left-invariant Ricci-flat pseudo-Riemannian metrics on nilpotent Lie groups, one based on gradings, the other on filtrations, both depending on the combinatorics of the set of weights. As an application, we show that every nilpotent Lie algebra of dimension up to 7 and every nice nilpotent Lie algebra of dimension up to 9 admit an indefinite Ricci-flat metric.
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TY - JOUR
DO - 10.1007/s13163-024-00512-6
UR - https://link.springer.com/10.1007/s13163-024-00512-6
TI - The Ricci-flatness that lurks in weight
T2 - Revista Matematica Complutense
AU - Conti, Diego
PY - 2024
DA - 2024/12/09
PB - Springer Nature
SN - 1139-1138
SN - 1988-2807
ER -
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@article{2024_Conti,
author = {Diego Conti},
title = {The Ricci-flatness that lurks in weight},
journal = {Revista Matematica Complutense},
year = {2024},
publisher = {Springer Nature},
month = {dec},
url = {https://link.springer.com/10.1007/s13163-024-00512-6},
doi = {10.1007/s13163-024-00512-6}
}