The Ricci Flow on Spin Manifolds
This first part of this thesis generalizes classical spin geometry to the setting of weighted manifolds (manifolds with density) and provides applications to the Ricci f low. Spectral properties of the naturally associated weighted Dirac operator, introduced by Perelman, and its relationship with th...
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| Format: | Thesis |
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Massachusetts Institute of Technology
2024
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| Online Access: | https://hdl.handle.net/1721.1/155325 |