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    Standardness of Einstein Solvmanifolds

    , M.Sc. Thesis Sharif University of Technology Sasani, Ramtin (Author) ; Fanai, Hamid Reza (Supervisor)
    Abstract
    In this thesis, we review the proof to standardness of Einstein solvamanifolds which is based on some results from Geometric Invariant Theory and stratification of topological spaces. Standardness is a very simple and yet powerful algebraic condition on the lie algebra of a solvmanifold which yields to remarkable existence and uniqueness and obstruction results