On isometric and minimal isometric embeddings Academic Article uri icon

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.

author list (cited authors)

  • Ivey, T., & Landsberg, J. M.

citation count

  • 0

publication date

  • September 1997