Improving e. Cartan considerations on the invariance of nonholonomic mechanics Waldyr M. Oliva, Gláucio Terra, and Journal of Geometric Mechanics, 2019 This paper concerns an intrinsic formulation of nonholonomic mechanics. Our point of departure is the paper [ 6 ], by Koiller et al., revisiting E. Cartan's address at the International Congress of Mathematics held in 1928 at Bologna, Italy ([ 3 ]). Two notions of equivalence for nonholonomic mechanical systems \\begin{document}$ ( {\\mathsf{{M}}}, {{\\mathsf{{g}}}}, {\\mathscr{D}}) $\\end{document} are introduced and studied. According to [ 6 ], the notions of equivalence considered in this paper coincide. A counterexample is presented here showing that this coincidence is not always true.
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Improving E. Cartan considerations on the invariance of nonholonomic mechanics. WM Oliva, G Terra Journal of Geometric Mechanics 11 (3) , 2019 2019.0 Citations: 1
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An inverse problem on vakonomic mechanics WM Oliva, G Terra SeMA Journal 51 (1), 141-148 , 2010 2010.0
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On the variational mechanics with non-linear constraints G Terra, MH Kobayashi Journal de mathématiques pures et appliquées 83 (5), 629-671 , 2004 2004.0 Citations: 9
On classical mechanical systems with non-linear constraints G Terra, MH Kobayashi Journal of Geometry and Physics 49 (3-4), 385-417 , 2004 2004.0 Citations: 19
Boas-vindas aos novos mestres.[Depoimento] MSA Palma, LN Oliveira, HN Cruz, S Penin, SV Sampaio, EAS Guimarães, ... Jornal da USP, 13-19 dez. 2004. 3 , 2004 2004.0
Sistemas Mecânicos e Lagrangeanos com Vınculos nao-Lineares G Terra PhD Thesis, Instituto de Matemática e Estatıstica, Universidade de Sao Paulo … , 2003 2003.0 Citations: 2
On the DitTerentiable Manifold Structure of some Spaces of Maps and Applications to Variational Mechanics G Terra Resenhas do Instituto de Matemática e Estatística da Universidade de São … , 2002 2002.0 Citations: 1
Estruturas de Lie-Poisson e aplicações em sistemas mecânicos vinculados G Terra Universidade de São Paulo , 1999 1999.0
MAT349-Introdução à Lógica G Terra
MOST CITED SCHOLAR PUBLICATIONS
A crash course in geometric mechanics T Ratiu Quantifization and Harmonic Analysis , 2005 2005.0 Citations: 75
On classical mechanical systems with non-linear constraints G Terra, MH Kobayashi Journal of Geometry and Physics 49 (3-4), 385-417 , 2004 2004.0 Citations: 19
On the variational mechanics with non-linear constraints G Terra, MH Kobayashi Journal de mathématiques pures et appliquées 83 (5), 629-671 , 2004 2004.0 Citations: 9
A Crash Course in Geometric Mechanics, Geometric Mechanics and Symmetry: The Peyresq Lectures TS Ratiu, R Tudoran, L Sbano, E Dias, G Terra Montaldi, J. and Ratiu, T.(Eds.) , 2005 2005.0 Citations: 6
Vakonomic versus nonholonomic mechanics revisited G Terra São Paulo Journal of Mathematical Sciences 12 (1), 136-145 , 2018 2018.0 Citations: 3
Birkhoffian systems in infinite dimensional manifolds WM Oliva, G Terra Journal of Dynamics and Differential Equations 22 (2), 193-201 , 2010 2010.0 Citations: 3
The parallel derivative G Terra Matemática Contemporânea 29, 157-170 , 2005 2005.0 Citations: 3
An inverse problem on vakonomic mechanics WM Oliva, G Terra São Paulo Journal of Mathematical Sciences 5 (1), 23-35 , 2011 2011.0 Citations: 2
Sistemas Mecânicos e Lagrangeanos com Vınculos nao-Lineares G Terra PhD Thesis, Instituto de Matemática e Estatıstica, Universidade de Sao Paulo … , 2003 2003.0 Citations: 2
Improving E. Cartan considerations on the invariance of nonholonomic mechanics. WM Oliva, G Terra Journal of Geometric Mechanics 11 (3) , 2019 2019.0 Citations: 1
Anosov Flows and Invariant Measures in Constrained Mechanical Systems WM Oliva, G Terra, MH Kobayashi São Paulo Journal of Mathematical Sciences 2 (1), 55-76 , 2008 2008.0 Citations: 1
On the DitTerentiable Manifold Structure of some Spaces of Maps and Applications to Variational Mechanics G Terra Resenhas do Instituto de Matemática e Estatística da Universidade de São … , 2002 2002.0 Citations: 1
A note on the smoothing problem in Chow’s theorem WM Oliva, G Terra São Paulo Journal of Mathematical Sciences 18 (2), 1132-1142 , 2024 2024.0
Diferenciação de medidas em espaços métricos JD Cabrera Cuellar, G Terra 2021.0
Rolling ball problems WM Oliva, G Terra Dynamics, Games and Science I: DYNA 2008, in Honor of Maurício Peixoto and … , 2011 2011.0
An inverse problem on vakonomic mechanics WM Oliva, G Terra SeMA Journal 51 (1), 141-148 , 2010 2010.0
A Crash Course in Geometric Mechanics (TS Ratiu) TS Ratiu, ES Dias, L Sbano, G Terra, R Tudoran LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES 306, 23 , 2006 2006.0
Boas-vindas aos novos mestres.[Depoimento] MSA Palma, LN Oliveira, HN Cruz, S Penin, SV Sampaio, EAS Guimarães, ... Jornal da USP, 13-19 dez. 2004. 3 , 2004 2004.0
Estruturas de Lie-Poisson e aplicações em sistemas mecânicos vinculados G Terra Universidade de São Paulo , 1999 1999.0