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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