"On the rigidity of normal quasi-convex singularities of analytic type", Petitions of the USSR Academy of Sciences series physics and math (1978)

Sun, 03 May 2026 11:34:47 +0000

On the Rigidity of Normal Quasi-Convex Singularities of Analytic Type: Insights from the 1978 USSR Academy of Sciences Series (Physics and Mathematics) Introduction The study of singularities in analytic functions occupies a central position in modern mathematical physics and differential geometry, particularly in the context of catastrophe theory and structured singularities. Among notable advancements in this domain, the seminal work compiled in the Petitions of the USSR Academy of Sciences series, Physics and Mathematics (1978), addresses a critical aspect: the rigidity of normal quasi-convex singularities of analytic type. This article explores the key concepts, theoretical implications, and enduring significance of this research, underscoring its contribution to understanding the stability and structural constraints of singular configurations in physical and geometric systems. ---