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math.DG2017
On the renormalized volume of tubes over polarized Kähler-Einstein manifolds
Yuya Takeuchi
A formula of the renormalized volume of tubes over polalized Kähler-Einstein manifolds is given in terms of the Einstein constant and the volume of the polarization.
math.DG2017★ 15 cited
Ambient constructions for Sasakian -Einstein manifolds
Yuya Takeuchi
The theory of ambient spaces is useful to define CR invariant objects, such as CR invariant powers of the sub-Laplacian, the -prime operators, and -prime curvature. However i…