In this package, we follow the notation introduced in Manifolds.jl – Notation

with the following additional or slightly changed notation

SymbolDescriptionAlso usedComment
$∇$The Levi-Cevita connection
$\operatorname{grad}f$The Riemannian gradient$∇f$due to possible confusion with the connection, we try to avoid $∇f$
$\operatorname{Hess}f$The Riemannian Hessian
$p,q$points on a manifoldwhen definiting functions
$x_k, y_k$points on a manifolditerates of an algorithm