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- W2740972480 abstract "We study the behaviour of the Laplacian flow evolving closed G$_2$-structures on warped products of the form $M^6times{mathbb S}^1$, where the base $M^6$ is a compact 6-manifold endowed with an SU(3)-structure. In the general case, we reinterpret the flow as a set of evolution equations on $M^6$ for the differential forms defining the SU(3)-structure and the warping function. When the latter is constant, we find sufficient conditions for the existence of solutions of the corresponding coupled flow. This provides a method to construct immortal solutions of the Laplacian flow on the product manifolds $M^6times{mathbb S}^1$. The application of our results to explicit cases allows us to obtain new examples of expanding Laplacian solitons." @default.
- W2740972480 created "2017-08-08" @default.
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- W2740972480 date "2017-08-01" @default.
- W2740972480 modified "2023-09-26" @default.
- W2740972480 title "Closed warped G$_{mathbf 2}$-structures evolving under the Laplacian flow" @default.
- W2740972480 hasPublicationYear "2017" @default.
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