@article{oai:nagasaki-u.repo.nii.ac.jp:00007567, author = {Karube, Takashi}, journal = {長崎大学教育学部自然科学研究報告, Science bulletin of the Faculty of Education, Nagasaki University}, month = {Feb}, note = {The group I (M) of isometries of a connected metric manifold M is a Lie group with respect to any topology finer than the pointwise topology. And if moreover the manifold M is the coset space of a topological group with a two-sided invariant metric, then I (M) is the total space of a principal fibre bundle over M with fibre and group Ia (M) (the isotropy subgroup of I (M) at an arbitrarily fixed point a of M)., 長崎大学教育学部自然科学研究報告. vol.40, p.1-3; 1989}, pages = {1--3}, title = {The Group of Isometries of a Metric Manifold}, volume = {40}, year = {1989} }