Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Khaitan, Ayush"'
We describe a general procedure for computing renormalized curvature integrals on Poincar\'e-Einstein manifolds. In particular, we explain the connection between the Gauss-Bonnet-type formulas of Albin and Chang-Qing-Yang for the renormalized volume,
Externí odkaz:
http://arxiv.org/abs/2404.11319
Autor:
Khaitan, Ayush
We prove the existence and uniqueness of a weighted analogue of the Fefferman-Graham ambient metric for manifolds with density. We then show that this ambient metric forms the natural geometric framework for the singular Ricci flow: given a singular
Externí odkaz:
http://arxiv.org/abs/2308.02061
Autor:
Khaitan, Ayush
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.
Externí odkaz:
http://arxiv.org/abs/2205.06018
Autor:
Khaitan, Ayush
We construct weighted GJMS operators on smooth metric measure spaces, and prove that they are formally self-adjoint. We also provide factorization formulas for them in the case of quasi-Einstein spaces and under Gover--Leitner conditions.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2203.04719
Autor:
Case, Jeffrey S., Khaitan, Ayush
Publikováno v:
SIGMA 18 (2022), 086, 21 pages
We prove the existence and uniqueness of weighted ambient metrics and weighted Poincar\'e metrics for smooth metric measure spaces.
Externí odkaz:
http://arxiv.org/abs/2202.11153
Autor:
Nair, Manikantan R., Khaitan, Ayush, Owhal, Ayush, Chandra, Inturi Ramesh, Belgamwar, Sachin U., Mishra, Radha Raman, Goel, Saurav, Roy, Tribeni
Publikováno v:
In Carbon May 2024 225
Autor:
Khaitan, Ayush, Owhal, Ayush, Nair, Manikantan R., Sahoo, Soumili, Belgamwar, Sachin U., Goel, Saurav, Roy, Tribeni
Publikováno v:
In Materials Today: Proceedings 2023 76 Part 2:467-475
Autor:
Khaitan, Ayush, Owhal, Ayush, Belgamwar, Sachin U., Raman Mishra, Radha, Goel, Saurav, Roy, Tribeni
Publikováno v:
In Materials Today: Proceedings 2022 64 Part 3:1412-1417