Asking this question as someone with a graduate student level understanding of smooth differential/Riemannian geometry (May be a bit more that Riemannian Geometry by Do Carmo). I am trying to upgrade my knowledge to the real-analytic set up.
Also my target is not to go in the direction of complex algebraic geometry (like Griffiths-Harris). I am primarily interested in building "analytic diffeomorphisms" and "analytic flows" on abstract analytic manifolds. I am interested in some basic materials which will eventually lead me in that direction.
Another question I asked, that may be more precise: What are some general strategies to build measure preserving real-analytic diffeomorphisms?