On normal forms of complex points of codimension 2 submanifolds

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:461

Article

Slapar, Marko^1,2,3  Starcic, Tadej^1,3 

[1] Univ Ljubljana, Fac Educ, Kardeljeva Ploscad 16, Ljubljana 1000, Slovenia

[2] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana 1000, Slovenia

[3] Inst Math Phys & Mech, Jadranska 19, Ljubljana 1000, Slovenia

关键词: CR manifolds;    Complex points;    Normal forms;    Simultaneous reduction;   

DOI  :  10.1016/j.jmaa.2018.01.039

来源: Elsevier

【 摘 要 】

In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex manifold. Assuming some extra nondegenericity and using the result of Hong, complete normal form descriptions can be given, and in low dimensions, we obtain a complete classification without any extra assumptions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free