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Parabolic dimensional
reductions of 11-dimensional supergravity
Teng Fei, Bin Guo and Duong H. Phong |
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Vol. 14 (2021), No. 5, 1333–1361
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Abstract |
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Ansatze are constructed under which the solutions of 11-dimensional supergravity must be stationary points of a parabolic flow on a Riemannian manifold . This parabolic flow turns out to be the Ricci flow coupled to a scalar field, a -form, and a -form. This allows the introduction of techniques from parabolic partial differential equations to the search of solutions to 11-dimensional supergravity. As a first step, Shi-type estimates and criteria for the long-time existence of the flow are established. |
Keywords
11-dimensional supergravity, Shi-type estimates
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Mathematical Subject Classification 2010
Primary: 53Z05
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Milestones
Received: 4 August 2018
Accepted: 27 January 2020
Published: 22 August 2021
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Authors |
| Teng Fei | |
| Department of Mathematics Columbia University New York, NY United States |
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| Bin Guo | |
| Department of Mathematics Columbia University New York, NY United States |
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| Duong H. Phong | |
| Department of Mathematics Columbia University New York, NY United States |
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