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- Matthew Perlmutter, Miguel Rodŕıguez-Olmos, M. Esmeralda Sousa-Dias
- 2003

We consider the problem of cotangent bundle reduction for non free group actions at zero momentum. We show that in this context the symplectic stratification obtained by Sjamaar and Lerman in [26] refines in two ways: (i) each symplectic stratum admits a stratification which we call the secondary stratification with two distinct types of pieces, one of… (More)

- Miguel Rodríguez-Olmos, M. Esmeralda Sousa-Dias
- J. Nonlinear Science
- 2009

We apply geometric techniques to obtain the necessary and sufficient conditions on the existence and nonlinear stability of self-gravitating Riemann ellipsoids having at least two equal axes.

- M Perlmutter, M Rodr´iguez-Olmos, M E Sousa-Dias
- 2005

For the cotangent bundle of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we construct a Witt-Artin decomposition at any point. We also obtain a splitting of the symplectic normal space which is related to the original bundle structure. This splitting is computed only in terms of the group… (More)

- M Perlmutter, M Rodr´iguez-Olmos, M E Sousa-Dias
- 2006

For the cotangent bundle T Q of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal space at any point. We show that this space splits as the direct sum of the cotangent bundle of a linear space and a symplectic linear space coming from reduction of a coadjoint… (More)

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