Аннотация:
We prove that the total CR Q-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the P′-operator and the CR invariance of the total Q′-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold.
T. Marugame, “Renormalized characteristic forms of the Cheng-Yau metric and global CR invariants”, Adv. Math., 377 (2021), 107468
Matsumoto Y., “Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondenck”, Springer Proceedings in Mathematics and Statistics, 246, 2018, 235-245