The spinorial energy for asymptotically Euclidean Ricci flow
Name
10.1515_ans-2022-0045.pdf
Description
Published version
Size
2.33 MB
Format
Adobe PDF
Checksum (MD5)
8a599d64bd4d31d5afedc8565b45a521
Author(s)
Baldauf, Julius
Ozuch, Tristan
Date Issued
April 18, 2023
Journal
Advanced Nonlinear Studies
Publisher
Walter de Gruyter GmbH
Citation
Baldauf, Julius and Ozuch, Tristan. "The spinorial energy for asymptotically Euclidean Ricci flow" Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 20220045.
Version
Final published version
Abstract
This article introduces a functional generalizing Perelman’s weighted Hilbert-Einstein action and the Dirichlet energy for spinors. It is well defined on a wide class of noncompact manifolds; on asymptotically Euclidean manifolds, the functional is shown to admit a unique critical point, which is necessarily of min-max type, and the Ricci flow is its gradient flow. The proof is based on variational formulas for weighted spinorial functionals, valid on all spin manifolds with boundary.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1515/ans-2022-0045
