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Award ID contains: 1811754

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  1. (, The Journal of Geometric Analysis)
    Full Text Available 
  2. (, Proceedings of the 13th ISAAC Congress)
    Accepted Manuscript Full Text Available
  3. (, Trends in mathematics)
    Cerejeiras, P.; Reissig, M; Sabadini, I; Toft, J. (Ed.)
    We survey recent progress in the study of flows of isometric G2- structures on seven-dimensional manifolds, that is, flows that preserve the metric, while modifying the G2-structure. In particular, heat flows of isometric G2-structures have been recently studied from several different perspectives, in particular in terms of 3-forms, octonions, vector fields, and geometric structures. We will give an overview of each approach, the results obtained, and compare the different perspectives. 
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    Accepted Manuscript Full Text Available
  4. (, Advances in Mathematics)
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  5. (, Fields Institute communications)
    Karigiannis, S.; Leung, N.; Lotay, J. (Ed.)
    We survey recent progress in the study of G2-structure Laplacian coflows, that is, heat flows of co-closed G2-structures. We introduce the properties of the original Laplacian coflow of G2-structures as well as the modified coflow, reviewing short-time existence and uniqueness results for the modified coflow and well as recent Shi-type estimates that apply to a more general class of G2-structure flows. 
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  6. (, Calculus of Variations and Partial Differential Equations)
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