{"id":61,"date":"2023-07-03T09:19:57","date_gmt":"2023-07-03T09:19:57","guid":{"rendered":"http:\/\/193.194.89.179\/wp_latn\/?page_id=61"},"modified":"2025-01-22T09:30:40","modified_gmt":"2025-01-22T09:30:40","slug":"geometrie-et-topologie","status":"publish","type":"page","link":"https:\/\/latn.usthb.dz\/index.php\/geometrie-et-topologie\/","title":{"rendered":"G\u00e9om\u00e9trie et topologie"},"content":{"rendered":"\n

Chef de l\u2019\u00e9quipe<\/u><\/strong> : ABBACI Brahim<\/h2>\n\n\n\n

Membres de l\u2019\u00e9quipe<\/u><\/strong><\/h2>\n\n\n\n
Nom<\/th>Pr\u00e9nom<\/th>Grade<\/th><\/tr>
ABBACI<\/td>Brahim<\/td>MCA<\/td><\/tr>
AIT AMRANE<\/td>Yacine<\/td>Professeur<\/td><\/tr>
DEBBACHE<\/td>Ali<\/td>MCA<\/td><\/tr>
ZEGLAOUI<\/td>Ahmed<\/td>MCB<\/td><\/tr>
BOUSSAHOUA<\/td>Nassima<\/td>Doctorante<\/td><\/tr>
BOUTELBA<\/td>Amina<\/td>Doctorante<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Th\u00e9matiques de recherche<\/h2>\n\n\n\n
\n

-Il s\u2019agit d\u2019\u00e9tudier les principales structures g\u00e9om\u00e9triques qui sont les structures de contact, les structures symplectiques et les structures de Poisson, d\u2019un point de vue local et global, rechercher leurs formes normales et donner des applications \u00e0 l\u2019\u00e9tudes des vari\u00e9t\u00e9s lagrangiennes et legendriennes et les singularit\u00e9s des fronts d\u2019ondes.
On s\u2019int\u00e9ressera aussi \u00e0 l\u2019\u00e9tude des champs de vecteurs en leurs points singuliers ainsi qu\u2019\u00e0 leurs formes normales et les applications aux syst\u00e8mes dynamiques.
On s\u2019int\u00e9ressera aussi au probl\u00e8me de la r\u00e9solution de certaines \u00e9quations homologiques,\u00a0
On s\u2019int\u00e9resse enfin \u00e0 l\u2019\u00e9tude des vari\u00e9t\u00e9s de Jacobi, structure g\u00e9om\u00e9trique qui g\u00e9n\u00e9ralise \u00e0 la fois les vari\u00e9t\u00e9s de contact, vari\u00e9t\u00e9s symplectiques et vari\u00e9t\u00e9s de Poisson. On met l\u2019accent sur la compatibilit\u00e9 d\u2019une m\u00e9trique pseudo-riemannienne avec une structure de Jacobi.<\/p>\n<\/blockquote>\n\n\n\n

Mots cl\u00e8s<\/strong>\u00a0:<\/h2>\n\n\n\n
\n

– Structures symplectiques, structures de Poisson, formes normales, vari\u00e9t\u00e9s lagrangiennes et legendriennes.<\/p>\n<\/blockquote>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Chef de l\u2019\u00e9quipe : ABBACI Brahim Membres de l\u2019\u00e9quipe Nom Pr\u00e9nom Grade ABBACI Brahim MCA AIT AMRANE Yacine Professeur DEBBACHE Ali MCA ZEGLAOUI Ahmed MCB BOUSSAHOUA Nassima Doctorante BOUTELBA Amina Doctorante Th\u00e9matiques de recherche -Il s\u2019agit d\u2019\u00e9tudier les principales structures g\u00e9om\u00e9triques qui Continue Reading<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-61","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/61","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/comments?post=61"}],"version-history":[{"count":5,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/61\/revisions"}],"predecessor-version":[{"id":218,"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/pages\/61\/revisions\/218"}],"wp:attachment":[{"href":"https:\/\/latn.usthb.dz\/index.php\/wp-json\/wp\/v2\/media?parent=61"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}