The height functions of -flow translators in the Euclidean space solve the classical Monge–Ampère equation . We explicitly and geometrically determine the moduli space of all helicoidal -flow translators, which are generated from planar curves by the action of helicoidal groups.
Les fonctions de hauteur des translateurs du flot de résolvent lʼéquation de Monge–Ampère classique . Nous déterminons de manière géométrique explicite lʼespace des modules de tous les translateurs à symétrie hélicoïdale du flot , qui sont engendré à partir de courbes planes par lʼaction de groupes hélicoïdaux.
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Hojoo Lee 1
@article{CRMATH_2013__351_11-12_477_0, author = {Hojoo Lee}, title = {Isometric deformations of the $ {\mathcal{K}}^{\frac{1}{4}}$-flow translators in $ {\mathbb{R}}^{3}$ with helicoidal symmetry}, journal = {Comptes Rendus. Math\'ematique}, pages = {477--482}, publisher = {Elsevier}, volume = {351}, number = {11-12}, year = {2013}, doi = {10.1016/j.crma.2013.06.006}, language = {en}, }
TY - JOUR AU - Hojoo Lee TI - Isometric deformations of the $ {\mathcal{K}}^{\frac{1}{4}}$-flow translators in $ {\mathbb{R}}^{3}$ with helicoidal symmetry JO - Comptes Rendus. Mathématique PY - 2013 SP - 477 EP - 482 VL - 351 IS - 11-12 PB - Elsevier DO - 10.1016/j.crma.2013.06.006 LA - en ID - CRMATH_2013__351_11-12_477_0 ER -
%0 Journal Article %A Hojoo Lee %T Isometric deformations of the $ {\mathcal{K}}^{\frac{1}{4}}$-flow translators in $ {\mathbb{R}}^{3}$ with helicoidal symmetry %J Comptes Rendus. Mathématique %D 2013 %P 477-482 %V 351 %N 11-12 %I Elsevier %R 10.1016/j.crma.2013.06.006 %G en %F CRMATH_2013__351_11-12_477_0
Hojoo Lee. Isometric deformations of the $ {\mathcal{K}}^{\frac{1}{4}}$-flow translators in $ {\mathbb{R}}^{3}$ with helicoidal symmetry. Comptes Rendus. Mathématique, Volume 351 (2013) no. 11-12, pp. 477-482. doi : 10.1016/j.crma.2013.06.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.06.006/
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☆ This work was supported by the National Research Foundation of Korea Grant funded by the Korean Government (Ministry of Education, Science and Technology) [NRF-2011-357-C00007].
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