G2-manifolds and the ADM formalism |
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Affiliation: | Graduate School of Mathematical Sciences, The University of Tokyo, Japan |
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Abstract: | In this paper we study a Hamiltonian function on the cotangent bundle of the space of Riemannian metrics on a 3-manifold M and prove the orbits of the constrained Hamiltonian dynamical system correspond to -manifolds foliated by hypersurfaces diffeomorphic to . |
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Keywords: | ADM formalism Hamiltonian dynamical systems |
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