Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904907 | Advances in Mathematics | 2018 | 30 Pages |
Abstract
The theory of ambient spaces is useful to define CR invariant objects, such as CR invariant powers of the sub-Laplacian, the P-prime operator, and Q-prime curvature. However in general, it is difficult to write down these objects in terms of the Tanaka-Webster connection. In this paper, we give those explicit formulas for CR manifolds satisfying an Einstein condition, called Sasakian η-Einstein manifolds. As an application, we study properties of the first and the second variation of the total Q-prime curvature at Sasakian η-Einstein manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yuya Takeuchi,