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.

published proceedings

  • Duke Mathematical Journal

author list (cited authors)

  • Ivey, T., & Landsberg, J. M.

citation count

  • 0

complete list of authors

  • Ivey, Thomas||Landsberg, JM

publication date

  • September 1997