20.500.12556/RUL-147462 On normal forms of complex points of small $\mathcal{C}^{2}$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold 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. CR manifolds closure graphs complex points normal forms perturbations simultaneous reduction CR mnogoterost graf zaprtja kompleksne točke normalna forma perturbacije hkratna redukcija true false true Angleški jezik Slovenski jezik Članek v reviji 2023-07-05 12:23:17 2023-07-05 12:23:19 2023-07-06 03:47:27 0000-00-00 00:00:00 2021 0 0 Str. 376-436 no. 3 Vol. 66 2021 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.55:515.16 1747-6933 10.1080/17476933.2020.1722112 46063107 On_normal_forms_of_complex_points_of_small_C2_perturbations_of_real_4_manifolds_embedded_in_a_complex_3_manifold.pdf On_normal_forms_of_complex_points_of_small_C2_perturbations_of_real_4_manifolds_embedded_in_a_complex_3_manifold.pdf 1 7FCD83AD4CB880A8FEEF34A5D8D07ECA 90384a3b304506e4532c8046326733d040928bb806304b6493a16d7cfb0ae920 be99d85e-1b1d-11ee-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=171048 https://www.tandfonline.com/doi/full/10.1080/17476933.2020.1722112 0 a1ecf202-1b1d-11ee-a314-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=171047 Pedagoška fakulteta 0 0 0