2022/11/20 by Ovidiu Preda, Preda, Ovidiu, Miron Stanciu +1
Mathematics · Medicine · #32S45 #53C55 #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Soft tissue tumor case studies
paper · pdf · doi:10.48550/arxiv.2211.10925
openalex publication_date 2022/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we prove that the blow-up of a locally irreducible lcK space X along a subspace Z which verifies certain conditions is lcK if and only if X is induced gcK, generalizing a theorem of Ornea-Verbitsky-Vuletescu to singular locally irreducible spaces. We also show that even if modifications of lcK spaces are not always of lcK type, they always admit quasi-lcK metrics.