Matemática

URI Permanente desta comunidade

http://repositorio.ufes.br/handle/10/17495
Programa de Pós-Graduação em Matemática

Centro: CCE
Telefone: (27) 4009 2474
URL do programa: http://www.matematica.ufes.br/pos-graduacao/PPGMAT

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Navegando Matemática por Autor "Batoreo, Marta Jakubowicz"

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    Caracterização de hiperfícies com curvatura normal nula em Sn xR e Hn x R
    (Universidade Federal do Espírito Santo, 2023-01-24) Ramos, Gustavo Panin; Passamani, Apoena Passos; https://orcid.org/0000-0003-1639-430X; http://lattes.cnpq.br/4845419392362758; https://orcid.org/0009-0001-7736-0819; http://lattes.cnpq.br/4128628460165034; Onnis, Irene Ignazia; https://orcid.org/0000-0003-0045-2173; http://lattes.cnpq.br/9456144794670433; Batoreo, Marta Jakubowicz; https://orcid.org/0009-0007-8085-4776; http://lattes.cnpq.br/1461528961848898
    In this work we expose some results in Riemannian geometry and an foliation theory, proving the Frobenius Theorem. However our focus is the description of all hypersurfaces of the spaces S n × R and Hn × R when regarded as submanifolds with codimension two of the spaces R n+2 and Hn+2 that have flat normal bundle curvature. This result was presented in the paper On a class of hypersurfaces in S n × R and Hn × R whose author is Ruy Tojeiro. Our goal is to detail the proofs presented therein.
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    Dinâmica Hamiltoniana Simplética: Capacidade de Hofer-Zehnder
    (Universidade Federal do Espírito Santo, 2019-09-20) Ferreira, Brayan Cuzzuol; Batoreo, Marta Jakubowicz; https://orcid.org/; http://lattes.cnpq.br/1461528961848898; https://orcid.org/; http://lattes.cnpq.br/; Passamani, Apoena Passos; https://orcid.org/; http://lattes.cnpq.br/4845419392362758; Ramos, Vinicius Gripp Barros; https://orcid.org/; http://lattes.cnpq.br/
    This dissertation presents some fundamental theorems on Symplectic Geometry including Darboux's theorem and Gromov's nonsqueezing theorem. Furthermore, we study the existence of periodic orbits of hamiltonians systems. The Hofer-Zehnder capacity was the m