Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Vitório, Henrique"'
Autor:
Vitório, Henrique
We prove in full generality a formula that relates the spectral flow of a continuous path of quadratic forms of Fredholm type with the spectral flow of the restrictions of the forms to a fixed closed finite codimensional subspace. We then apply this
Externí odkaz:
http://arxiv.org/abs/2410.06930
Autor:
Vitório, Henrique
We develop appropriate notions of Maslov index and spectral flow for electromagnetic geodesics within a fixed energy level and prove a Morse Index type theorem in this context. This is then applied to the problem of electromagnetic geodesics, all of
Externí odkaz:
http://arxiv.org/abs/2310.17400
Autor:
Duran, Carlos, Vitorio, Henrique
We express invariants of Finsler manifolds in a geometrical way by means of using moving planes and their associated Jacobi curves, which are curves in a fixed homogeneous Grassmann manifold. Some applications are given.
Comment: 27 pages. Neces
Comment: 27 pages. Neces
Externí odkaz:
http://arxiv.org/abs/1701.01705
Autor:
Vitório, Henrique
We propose a unified approach to the theory of connections in the geometry of sprays and Finsler metrics which, in particular, gives a simple explanation of the well-known fact that all the classical Finslerian connections provide exactly the same fo
Externí odkaz:
http://arxiv.org/abs/1601.04951
Publikováno v:
Repositório Institucional da UnicampUniversidade Estadual de CampinasUNICAMP.
Orientadores: Carlos Eduardo Durán Fernandez, Marcos Benevenutto Jardim
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-16T11:28:16
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
Made available in DSpace on 2018-08-16T11:28:16
Externí odkaz:
http://repositorio.unicamp.br/jspui/handle/REPOSIP/306819
We generalize the notion of Zermelo navigation to arbitrary pseudo-Finsler metrics possibly defined in conic subsets. The translation of a pseudo-Finsler metric $F$ is a new pseudo-Finsler metric whose indicatrix is the translation of the indicatrix
Externí odkaz:
http://arxiv.org/abs/1412.0465
In this work, a version of Fermat's principle for causal curves with the same energy in time orientable Finsler spacetimes is proved. We calculate the secondvariation of the {\it time arrival functional} along a geodesic in terms of the index form as
Externí odkaz:
http://arxiv.org/abs/1202.3869
Publikováno v:
Biblioteca Digital de Teses e Dissertações da Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Universidade Estadual de Campinas (UNICAMP)
instacron:UNICAMP
Orientadores: Carlos Eduardo Durán Fernandez, Marcos Benevenutto Jardim Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica Resumo: A presente tese dá continuidade ao recente traba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::482683e7e7b95c642be51695b2e5be25
https://doi.org/10.47749/t/unicamp.2010.772971
https://doi.org/10.47749/t/unicamp.2010.772971
Autor:
Vitório, Henrique1 henriquevitorio@dmat.ufpe.br
Publikováno v:
Bulletin of the Brazilian Mathematical Society. Jun2017, Vol. 48 Issue 2, p317-333. 17p.
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