We prove a general result about the stability of geometric flows of “closed” sections of vector bundles on compact manifolds. Our theorem allows us to prove a stability result for the modified Laplacian coflow in G2-geometry introduced by Grigorian in [9] and for the balanced flow introduced by the authors in [2].
Stability of geometric flows of closed forms
Vezzoni L.
2020-01-01
Abstract
We prove a general result about the stability of geometric flows of “closed” sections of vector bundles on compact manifolds. Our theorem allows us to prove a stability result for the modified Laplacian coflow in G2-geometry introduced by Grigorian in [9] and for the balanced flow introduced by the authors in [2].
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