Kartik Prabhu replied to a post on Twitter with yes, https://en.wikipedia.org/wiki/Homogeneous_space#Homogeneous_spaces_as_coset_spaces even though I don’t know what you mean by “isometry”. Send me the link to your response (Learn more) Send Likes 🦁 Leo C. Stein on Twitter 0xfeedbae 0xdadb0daf on Twitter