Various instances of normal distributions on manifolds. Here is how to use isotropic noise on a sphere.
using Manifolds
M = Sphere(2)
using ManifoldNormal
δ = .1 # standard deviation
noise = IsotropicNoise(M, δ)
import Random
rng = Random.default_rng()
x = [1., 0, 0]
noise(rng, x) # another point on the sphere, close to x