Weighted renormalized volume coefficients
Abstract
We define weighted renormalized volume coefficients and prove that they are variational. We also prove that they can be written as polynomials of weighted extended obstruction tensors, the weighted Schouten tensor, and the weighted Schouten scalar.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2022
- DOI:
- 10.48550/arXiv.2205.06018
- arXiv:
- arXiv:2205.06018
- Bibcode:
- 2022arXiv220506018K
- Keywords:
-
- Mathematics - Differential Geometry;
- 53A31;
- 53A55;
- 31C12
- E-Print:
- 15 pages