20.500.12556/DiRROS-18874 On structures of normal forms of complex points of small ${\mathcal C}^2$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold We extend our previous result on the behaviour of the quadratic part of a complex points of a small ${\mathcal C}^2$-perturbation of a real $4$-manifold embedded in a complex $3$-manifold. We describe the change of the structure of the quadratic normal form of a complex point. It is an immediate consequence of a theorem clarifying how small perturbations can change the bundle of a pair of one arbitrary and one symmetric $2 \times 2$ matrix with respect to an action of a certain linear group. V članku razširimo naš prejšnji rezultat, ki opisuje obnašanje kvadratičnega dela kompleksnih točk majhnih ${\mathcal C}^2$-perturbacij realnih $4$-mnogoterosti vloženih v kompleksno $3$-mnogoterost. Opišemo spremembo strukture kvadratične normalne forme kompleksne točke. To je neposredna posledica izreka, ki pojasnjuje, kako lahko majhne perturbacije spremenijo strukturo para ene poljubne in ene simetrične $2 \times 2$ matrike glede na delovanje neke določene linearne grupe. CR manifolds closure graphs complex points normal forms perturbations CR mnogoterosti grafi zaprtja kompleksne točke normalne forme perturbacije true false true Angleški jezik Slovenski jezik Neznano 2024-05-06 12:45:16 2024-05-06 12:45:16 2024-05-07 03:44:13 0000-00-00 00:00:00 2024 0 0 43 str. iss. 2, [article no.] 48 Vol. 118 Apr. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-04-01 517.5 1578-7303 10.1007/s13398-023-01545-0 194449155 s13398-023-01545-0-2.pdf s13398-023-01545-0-2.pdf 1 9C59C6A8DB83987EB72B186896A6324E 0915a8854b9b7c23178b02e2a6e1b622730fcc06a3397545a40112a73d42e9ca 27fc9df1-0b85-11ef-9069-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25840 https://link.springer.com/article/10.1007/s13398-023-01545-0 1 f7696b79-0b84-11ef-9069-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25839 Inštitut za matematiko, fiziko in mehaniko 0 0 0