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Low dimensional C-spaces
Abstract
We give the classification of C-spaces (i.e., compact homogeneous spaces admitting an invariant complex structure), up to finite cover and equivariant diffeomorphism, of dimension 6, 8 and 10. The conditions for the existence of a balanced, pluriclosed, CYT and LCK Hermitian metric are established for dimensions 6 and 8.
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BibTeX
@misc{lauret2026dimensional,
title = {{Low dimensional C-spaces}},
author = {Jorge Lauret and Facundo Montedoro},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26481},
eprint = {2610.26481},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26481},
}
RIS
TY - UNPB
TI - Low dimensional C-spaces
AU - Jorge Lauret
AU - Facundo Montedoro
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26481
UR - https://arxiv.org/abs/2610.26481
AB - We give the classification of C-spaces (i.e., compact homogeneous spaces admitting an invariant complex structure), up to finite cover and equivariant diffeomorphism, of dimension 6, 8 and 10. The conditions for the existence of a balanced, pluriclosed, CYT and LCK Hermitian metric are established for dimensions 6 and 8.
ER -