Almost Minimal Morsifications of Functions of Two Real Variables

We construct morsifications with exactly one real extremum point for real analytic functions of two variables whose level set consists of smooth branches. As an application of this theory, morsifications of functions invariant with respect to an irreducible group action are constructed.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2025-10-01
DOI
https://doi.org/10.3103/s0027132225700597
Primary Topic
Advanced Topology and Set Theory
Type
article
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article

Almost Minimal Morsifications of Functions of Two Real Variables

I. A. Proskurnin
Moscow University Mathematics Bulletin
Advanced Topology and Set Theory
article

Almost Minimal Morsifications of Functions of Two Real Variables

I. A. Proskurnin
article en

Abstract

We construct morsifications with exactly one real extremum point for real analytic functions of two variables whose level set consists of smooth branches. As an application of this theory, morsifications of functions invariant with respect to an irreducible group action are constructed.

Moscow University Mathematics BulletinVol. 80(5)
Moscow Center For Continuous Mathematical Education (RU)
Reduced inequalities
Openalex Percentile: Top 17%
Advanced Topology and Set Theory
DOISourceOpenAlex
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Almost Minimal Morsifications of Functions of Two Real Variables — I. A. Proskurnin · Moscow University Mathematics Bulletin (2025) | TGRS Research Map | TGRS