English

On isometric and minimal isometric embeddings

dg-ga 2008-02-03 v2 Differential Geometry

Abstract

In this paper we study critial isometric and minimal isometric embeddings of classes of Riemannian metrics which we call {\it quasi-kk-curved metrics}. Quasi-kk-curved metrics generalize the metrics of space forms. We construct explicit examples and prove results about existence and rigidity.

Keywords

Cite

@article{arxiv.dg-ga/9508004,
  title  = {On isometric and minimal isometric embeddings},
  author = {Thomas Ivey and J. M. Landsberg},
  journal= {arXiv preprint arXiv:dg-ga/9508004},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T12:29:39.023Z