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A história do surgimento da geometria não euclidiana: o despertar para novos mundos e os modelos de Beltrami
(Universidade Tecnológica Federal do ParanáCuritibaBrasilPrograma de Pós-Graduação em Matemática em Rede NacionalUTFPR, 2019-05-06)
The present work presents a brief historical presentation of the development of the non-Euclidian models proposed by Eugenio Beltrami. From the precise systematization of Euclid, we present certain inquiries and misgivings ...
Estructuras casi-Kähler estáticas en grupos de Lie
(2021)
Una ecuación especialmente sofisticada para evolucionar variedades casi-Kähler es el flujo de curvatura simpléctico, introducido por Streets-Tian. Los puntos fijos de este flujo, que reciben el nombre de estructuras ...
Lagrangian Grassmannian in infinite dimension
(Elsevier Science, 2009-03)
Given a complex structure J on a real (finite or infinite dimensional) Hilbert space H, we study the geometry of the Lagrangian Grassmannian Λ (H) of H, i.e. the set of closed linear subspaces L ⊂ H such that J (L) = L⊥. ...
T-duality on nilmanifolds
(Springer, 2018-05)
We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. Such a construction is called ...
Hyperbolic smoothing and penalty techniques applied to molecular structure determination
(Elsevier Science BvAmsterdamHolanda, 2011)
Behavioural Analysis of a Nonlinear Mechanical System Using Transient Trajectories
(2003-12-08)
This work aims at a better comprehension of the features of the solution surface of a dynamical system presenting a numerical procedure based on transient trajectories. For a given set of initial conditions an analysis is ...