On isometric and minimal isometric embeddings

Details On isometric and minimal isometric embeddings On isometric and minimal isometric embeddings

1995-08-09

arxiv.org/abs/dg-ga/9508004v2

Mathematics

Differential Geometry

21 pages, AMSTeX. Significantly changed version of paper originally Titled "On minimal isometric embeddings"

Scientific paper

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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