1b33d16fc562464579b7199ca3114982-AuthorFeedback.pdf

We would like to thank all the reviewers for their effort, and their thoughtful comments. Being formal, it should be "the gradient associated to the pullback of We will change it to "on which standard convergence results still apply". Thm 4.3 We will change "is equivalent" to The same can be said about higher order methods. We chose not to mention them in the main paper for simplicity. In l.138 we do mean "in almost all the manifold" in a measure-theoretical sense with respect to a measure induced by These two things indeed deserve a clarifying footnote.