Good night, anyone know of any reference where I can find the proof of the **Stable/Unstable Manifold Theorem for a Morse-Bott function**. I'm interested in the dimensions of the stable and unstable manifolds, these dimensions are intuitive but wanted to know of some reference. 


Thank you very much, all references will help me.



Stable/Unstable Manifold Theorem for a Morse-Bott function
The paper *Morse-Bott theory and equivariant cohomology* by D. M. Austin and P. J. Braam (in The Floer memorial volume, Progr. Math., 133, 1995) is a good reference for Morse-Bott theory. In particular Proposition 3.2 and Theorem A.9 seem to contain what you want.


