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Nov 10, 2021 at 16:24 comment added Someone And so , just so that I get this straight, the injectivity radius of the natural metric, the sasaki metric, in $TM$ induced from a metric in $M$ will be $0$? @NickL
Nov 9, 2021 at 16:50 comment added Nick L It seems that there is two different notions of Sasaki metrics here. One of them is the one on the tangent bundle mentioned in the referenced MO post, the other is a class of compact manifolds related to Kahler geometry, i.e. a Sasaki manifold is to a Kahler manifold what a contact manifold is to a symplectic manifold. I think this is the reason for the apparent contradiction.
Nov 9, 2021 at 16:30 history asked Someone CC BY-SA 4.0