On local isometric immersions of Riemannian symmetric spaces (Q5896249)

Let \(M=G/K\) be an s.c. irreducible Riemannian symmetric space of compact type. Let 2c(M) denote the maximal rank of its curvature transformation. Then c(M) and c(M)-2 are lower bounds for the codimension of isometric and conformal immersions of M into Euclidean space. c(M) is computed for all M. For example, \(2c(M)=\dim M-rkG+rkK\), if M is not a real Grassmannian.