Formulae of some global CR invariants for Sasakian $\eta$-Einstein manifolds

24 Mar 2020 · Takeuchi Yuya ·

In this paper, we give explicit formulae of the Burns-Epstein invariant and global CR invariants via renormalized characteristic forms introduced by Marugame for Sasakian $\eta$-Einstein manifolds. As an application, we show that the latter invariants are algebraically independent.