%0 Journal Article %T On isometric and minimal isometric embeddings %A Thomas Ivey %A J. M. Landsberg %J Mathematics %D 1995 %I arXiv %X In this paper we study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which we call {\it quasi-$k$-curved metrics}. Quasi-$k$-curved metrics generalize the metrics of space forms. We construct explicit examples and prove results about existence and rigidity. %U http://arxiv.org/abs/dg-ga/9508004v2