Submitted by Erika Demachki (erikademachki@gmail.com) on 2014-10-22T19:41:10Z No. of bitstreams: 4 Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 01.pdf: 20946472 bytes, checksum: 1f5cc7eeda54593cff53f3c563b23faa (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 02.pdf: 20125557 bytes, checksum: 9c30c03de1a6b7fb3f356cc931d61534 (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 03.pdf: 266901 bytes, checksum: 97410256533198e3a3b180056a740526 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Approved for entry into archive by Jaqueline Silva (jtas29@gmail.com) on 2014-10-22T20:18:04Z (GMT) No. of bitstreams: 4 Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 01.pdf: 20946472 bytes, checksum: 1f5cc7eeda54593cff53f3c563b23faa (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 02.pdf: 20125557 bytes, checksum: 9c30c03de1a6b7fb3f356cc931d61534 (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 03.pdf: 266901 bytes, checksum: 97410256533198e3a3b180056a740526 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) / Made available in DSpace on 2014-10-22T20:18:04Z (GMT). No. of bitstreams: 4 Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 01.pdf: 20946472 bytes, checksum: 1f5cc7eeda54593cff53f3c563b23faa (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 02.pdf: 20125557 bytes, checksum: 9c30c03de1a6b7fb3f356cc931d61534 (MD5) Dissertação - Douglas Hilário da Cruz - 2013 - PARTE 03.pdf: 266901 bytes, checksum: 97410256533198e3a3b180056a740526 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) Previous issue date: 2013-04-16 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In this work we study asymptotic lines in the neighborhood of a singular point, lines of curvature in the neighborhood of singular curves of ellipsoid wave fronts and the lines of curvature in the neighborhood of the Darbouxian umbilic points. / Neste trabalho estudamos as linhas assintóticas na vizinhança de um ponto singular, as linhas de curvatura na vizinhança das curvas de pontos singulares das frentes de ondas do elipsóide e as linhas de curvatura na vizinhança dos pontos umbílicos Darbouxianos das frentes de ondas de uma superfície regular.

La première partie présente des calculs explicites de terminaison effective de l'algorithme de Kohn proposée par Siu. Dans la deuxième partie, nous étudions la géométrie des hypersurfaces réelles dans Cⁿ, et nous calculons des invariants explicites avec la méthode d'équivalences de Cartan pour déterminer les lieux CR-ombilics. / The first part of the thesis consists of calculations around Siu's effective termination of Kohn's algorithm. The second part of the thesis studies the CR real hypersurfaces in complex spaces and calculates various explicit invariants using Cartan's equivalence method to study CR-umbilical points.