Showing papers by "Joseph M. Landsberg published in 1995"
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TL;DR: In this paper, the authors study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which they call quasi-$k$-curved metrics.
Abstract: 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.