We survey some recent results on holomorphic or formal mappings sending real submanifolds in complex space into each other. More specifically, the approximation and convergence properties of formal CR-mappings between real-analytic CR-submanifolds will be discussed, as well as the corresponding questions in the category of real-algebraic CR-submanifolds.
@article{JEDP_2003____A12_0,
author = {Meylan, Francine and Mir, Nordine and Zaitsev, Dimitri},
title = {On some rigidity properties of mappings between CR-submanifolds in complex space},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
year = {2003},
pages = {1-20},
doi = {10.5802/jedp.626},
mrnumber = {2050598},
zbl = {02079447},
language = {en},
url = {http://dml.mathdoc.fr/item/JEDP_2003____A12_0}
}
Meylan, Francine; Mir, Nordine; Zaitsev, Dimitri. On some rigidity properties of mappings between CR-submanifolds in complex space. Journées équations aux dérivées partielles, (2003), pp. 1-20. doi : 10.5802/jedp.626. http://gdmltest.u-ga.fr/item/JEDP_2003____A12_0/
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