2012/11/19 by Miguel Brozos‐Vázquez, Eduardo García‐Río, Brozos-Vazquez, M. +5
Biochemistry, Genetics and Molecular Biology · Mathematics · #15A72 #53A15 #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Microtubule and mitosis dynamics #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1211.4453
openalex publication_date 2012/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Any pseudo-Hermitian or para-Hermitian manifold of dimension 4 admits a unique Kaehler-Weyl structure; this structure is locally conformally Kaehler if and only if the alternating Ricci tensor vanishes. The alternating Ricci tensor takes values in a certain representation space. In this paper, we show that any algebraic possibility in this representation space can in fact be geometrically realized by a left-invariant Kaehler-Weyl structure on a 4-dimensional Lie group in either the Hermitian or the para-Hermitian setting.