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On structures of normal forms of complex points of small ${\mathcal C}^2$-perturbations of real $4$-manifolds embedded in a complex $3$-manifold
Tadej Starčič, 2024, izvirni znanstveni članek

Povzetek: 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.
Ključne besede: CR manifolds, closure graphs, complex points, normal forms, perturbations
Objavljeno v DiRROS: 06.05.2024; Ogledov: 98; Prenosov: 41
.pdf Celotno besedilo (929,58 KB)
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