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On isometric and minimal isometric embeddings

Thomas Ivey·J. M. Landsberg
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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.

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BibTeXRIS

Thomas Ivey, J. M. Landsberg. 1996-07-31. On isometric and minimal isometric embeddings. https://arxiv.org/abs/dg-ga/9508004

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