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.
@incollection{JEDP_2003____A12_0, author = {Francine Meylan and Nordine Mir and Dimitri Zaitsev}, title = {On some rigidity properties of mappings between {CR-submanifolds} in complex space}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {12}, pages = {1--20}, publisher = {Universit\'e de Nantes}, year = {2003}, doi = {10.5802/jedp.626}, zbl = {02079447}, mrnumber = {2050598}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.626/} }
TY - JOUR AU - Francine Meylan AU - Nordine Mir AU - Dimitri Zaitsev TI - On some rigidity properties of mappings between CR-submanifolds in complex space JO - Journées équations aux dérivées partielles PY - 2003 SP - 1 EP - 20 PB - Université de Nantes UR - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.626/ DO - 10.5802/jedp.626 LA - en ID - JEDP_2003____A12_0 ER -
%0 Journal Article %A Francine Meylan %A Nordine Mir %A Dimitri Zaitsev %T On some rigidity properties of mappings between CR-submanifolds in complex space %J Journées équations aux dérivées partielles %D 2003 %P 1-20 %I Université de Nantes %U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.626/ %R 10.5802/jedp.626 %G en %F JEDP_2003____A12_0
Francine Meylan; Nordine Mir; Dimitri Zaitsev. On some rigidity properties of mappings between CR-submanifolds in complex space. Journées équations aux dérivées partielles (2003), article no. 12, 20 p. doi : 10.5802/jedp.626. https://proceedings.centre-mersenne.org/articles/10.5802/jedp.626/
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