Euler Top dynamics of Nambu-Goto p-branes

We propose a method to obtain new exact solutions of spinning p-branes inflat space-times for any p, which manifest themselves as higher dimensionalEuler Tops and minimize their energy functional. We provide concrete examplesfor the case of spherical topology S^{2}, S^{3} and rotational symmetry\prod_{i}SO(q_{i}). In the case of toroidal topology T^{2}, T^{3} therotational symmetry is \prod SU(q_{i}) and m target dimensions are compactifiedon the torus T^{m} . By double dimensional reduction the Light ConeHamiltonians of T^{2}, T^{3} reduce to those of closed string S^{1} and T^{2}membranes respectively. The solutions are interpreted as non-perturbativespinning soliton states of type IIA-IIB superstrings.Comment: 33 pages, LATEX; more typos corrected; some equation numbering correction