Symmetric Submanifolds of Riemannian Symmetric Spaces

  • Sankaran Viswanath May
  • Published 2000
A symmetric space is a Riemannian manifold that is “symmetric” about each of its points: for each p ∈ M there is an isometry σp of M such that (σp)∗ = −I on TpM . Symmetric spaces and their local versions were studied and classified by E.Cartan in the 1920’s. In 1980 D.Ferus [F2] introduced the concept of symmetric submanifolds of Euclidean space: A… CONTINUE READING