On normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold

Starčič, Tadej (author)

We answer the question how arbitrarily small perturbations of a pair of one arbitrary and one symmetric $2\times 2$ matrix can change a normal form with respect to a certain linear group action. This result is then applied to describe the quadratic part of normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold.

• Language: English
• Keywords: CR manifolds, closure graphs, complex points, normal forms, perturbations, simultaneous reduction
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2021
• Number of pages: Str. 376-436
• Numbering: Vol. 66, no. 3
• PID: 20.500.12556/RUL-147462
• UDC: 517.55:515.16
• ISSN on article: 1747-6933
• DOI: 10.1080/17476933.2020.1722112
• COBISS.SI-ID: 46063107
• Publication date in RUL: 05.07.2023

Record is a part of a journal

• Title: Complex variables and elliptic equations
• Publisher: Taylor & Francis
• ISSN: 1747-6933
• COBISS.SI-ID: 513019929

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: CR mnogoterost, graf zaprtja, kompleksne točke, normalna forma, perturbacije, hkratna redukcija

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0291
• Name: Analiza in geometrija

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-7256
• Name: Interakcije med kompleksno analizo, minimalnimi ploskvami in parcialnimi diferencialnimi enačbami