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math.DG2022
CR Yamabe constant and inequivalent CR structures
Chanyoung Sung, Yuya Takeuchi
The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe co…
math.DG2022★ 1 cited
Generalizations of the -prime curvature via renormalized characteristic forms
Yuya Takeuchi
The -prime curvature is a local pseudo-Einstein invariant on CR manifolds defined by Case and Yang, and Hirachi. Its integral, the total -prime curvature, gives a non-trivial…