This is my first question in mathoverflow.

I'm now reading Brendle's paper http://arxiv.org/pdf/1203.0270.pdf.

I'm confused about how to check Condition (ii) of asymptotically cylindrical condition for Bryant soliton.

Is the associate diffeomorphism for Bryant soliton is just scaling?

Thanks a lot.

This is my first question in mathoverflow.

I'm now reading Brendle's paper http://arxiv.org/pdf/1203.0270.pdf.

I'm confused about how to check Condition (ii) of asymptotically cylindrical condition for Bryant soliton.

How to make use use of Hamilton's compactness Thm to prove it?

Thanks a lot.