Items for "geodesic spheres"

The geometry of k-harmonic manifolds

An n-dimensional Riemannian manifold is called k-harmonic for some integer k, 1 ≤ k ≤ n - 1, if the k-th elementary symmetric functions of the principal curvatures of small geodesic spheres are radial functions...

Keywords: Harmonic spaces, k-harmonic spaces, Einstein spaces, k-stein spaces, geodesic spheres, shape operator, two-point homogeneous spaces, Damek-Ricci spaces