Sobre a Curvatura Gaussiana de superf??cies compactas em variedades homog??neas de dimens??o tr??s

Submitted by Jo??o Pereira (joao_jou@hotmail.com) on 2018-09-10T15:36:42Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Approved for entry into archive by PPG Matem??tica (ppgmufam@gmail.com) on 2018-09-10T15:39:34Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Rejected by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br), reason: A Carta de Encaminhamento para Autodep??sito precisa ser depositada. Siga as instru????es http://biblioteca.ufam.edu.br/servicos/teses-e-dissertacoes on 2018-09-10T18:01:09Z (GMT) Submitted by Jo??o Pereira (joao_jou@hotmail.com) on 2018-09-10T19:51:06Z No. of bitstreams: 3 Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Carta de Encaminhamento - Jo??o Filipe (1).pdf: 345703 bytes, checksum: 0b5e944c4f490db26b7032a876662635 (MD5) Ata de Defesa - Jo??o Felipe.pdf: 448121 bytes, checksum: c6b961e6c79bdc34c86617f4f4e12aaa (MD5) Approved for entry into archive by PPG Matem??tica (ppgmufam@gmail.com) on 2018-09-11T12:52:07Z (GMT) No. of bitstreams: 3 Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Carta de Encaminhamento - Jo??o Filipe (1).pdf: 345703 bytes, checksum: 0b5e944c4f490db26b7032a876662635 (MD5) Ata de Defesa - Jo??o Felipe.pdf: 448121 bytes, checksum: c6b961e6c79bdc34c86617f4f4e12aaa (MD5) Approved for entry into archive by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2018-09-11T14:51:20Z (GMT) No. of bitstreams: 3 Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Carta de Encaminhamento - Jo??o Filipe (1).pdf: 345703 bytes, checksum: 0b5e944c4f490db26b7032a876662635 (MD5) Ata de Defesa - Jo??o Felipe.pdf: 448121 bytes, checksum: c6b961e6c79bdc34c86617f4f4e12aaa (MD5) Made available in DSpace on 2018-09-11T14:51:20Z (GMT). No. of bitstreams: 3 Disserta????o Vers??o Final Jo??o Filipe com capa (3).pdf: 9622644 bytes, checksum: 8e5d2a24add110a015378d665087c184 (MD5) Carta de Encaminhamento - Jo??o Filipe (1).pdf: 345703 bytes, checksum: 0b5e944c4f490db26b7032a876662635 (MD5) Ata de Defesa - Jo??o Felipe.pdf: 448121 bytes, checksum: c6b961e6c79bdc34c86617f4f4e12aaa (MD5) Previous issue date: 2015-03-06 CAPES - Coordena????o de Aperfei??oamento de Pessoal de N??vel Superior Compact flat surfaces of homogeneous Riemannian 3-manifolds with isometry group of dimension 4 are classified. Nonexistence results for compact constant Gauss curvature surfaces in these 3-manifolds are established. Neste trabalho vamos classificar as superf??cies compactas planas em variedades riemannianas homog??neas tridimensionais com grupo de isometrias de dimens??o 4. Al??m disso, vamos estabelecer resultados de inexist??ncia de superf??cies compactas de curvatura gaussiana constante nestas variedades.