Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Lauret, Jorge, Montedoro, Facundo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223067625