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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Estimativas de altura para superfícies com curvatura extrínseca constante positiva em espaços produto

Pereira, Cícero Keyson de Moura, 88-99672-2148 20 October 2017 (has links)
Submitted by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2018-02-20T14:22:00Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação_Cícero K. M. Pereira.pdf: 13494805 bytes, checksum: dec78fc54d9f514a09ab374d40872d52 (MD5) / Approved for entry into archive by Divisão de Documentação/BC Biblioteca Central (ddbc@ufam.edu.br) on 2018-02-20T14:22:12Z (GMT) No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação_Cícero K. M. Pereira.pdf: 13494805 bytes, checksum: dec78fc54d9f514a09ab374d40872d52 (MD5) / Made available in DSpace on 2018-02-20T14:22:12Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertação_Cícero K. M. Pereira.pdf: 13494805 bytes, checksum: dec78fc54d9f514a09ab374d40872d52 (MD5) Previous issue date: 2017-10-20 / FAPEAM - Fundação de Amparo à Pesquisa do Estado do Amazonas / We will present some height estimates for compact surfaces with positive constant extrinsic curvature (𝐾−surfaces) in ℳ2 × R, where ℳ2 is a surface with constant Gauss curvature. We will initially show a vertical height estimate for compact 𝐾−graphs in ℳ2 × R, with boundary in a slice and later horizontal height estimate for compact, embedded 𝐾−surfaces in H2 × R with boundary on a vertical plane. Such results have been proven by josé Espinar, José Galvez and Harold Rosenberg in the article entitled "Complete surfaces with positive extrinsic curvature in product spaces". The tools used to demonstrate these estimates are based on the Hopf Maximum Principle and the Alexandrov Reflection Method. / Neste trabalho apresentamos algumas estimativas de altura para superfícies compactas com curvatura extrínseca constante positiva (𝐾−superfícies) em ℳ2 × R, em que ℳ2 denota uma superfície com curvatura de Gauss constante. Mostraremos inicialmente uma estimativa de altura vertical para 𝐾−gráficos compactos em ℳ2 × R, com bordo em um plano horizontal e posteriormente uma estimativa de altura horizontal para 𝐾−superfícies compactas mergulhadas em H2 × R com bordo em um plano vertical. Tais resultados foram provados por José Espinar, José Galvez e Harold Rosenberg no artigo intitulado "Complete surfaces with positive extrinsic curvature in product spaces". As ferramentas utilizadas para demonstrar estas estimativas se baseiam no princípio do máximo de Hopf e no Método de Reflexão de Alexandrov.

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