$G_2$-manifolds and the ADM formalism
Differential Geometry
2019-05-30 v5 General Relativity and Quantum Cosmology
Symplectic Geometry
Abstract
In this paper we study a Hamiltonian function on the cotangent bundle of the space of Riemannian metrics on a 3-manifold and prove the orbits of the constrained Hamiltonian dynamical system correspond to -manifolds foliated by hypersurfaces diffeomorphic to .
Keywords
Cite
@article{arxiv.1806.00454,
title = {$G_2$-manifolds and the ADM formalism},
author = {Ryohei Chihara},
journal= {arXiv preprint arXiv:1806.00454},
year = {2019}
}
Comments
14 pages; published version