Regularity estimates prove that blow-up of the second covariant derivative of the spinor is the sole obstruction to long-time existence of the spinor flow, generalizing surface criteria to higher dimensions.
Homogeneous spinor flow
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abstract
We study the spinor flow on homogeneous spin manifolds. After providing the general setup we discuss the homogeneous spinor flow in dimension 3 and on almost abelian Lie groups in detail. As a further example the flag manifold in dimension 6 is treated.
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math.DG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Regularity estimates for the gradient flow of a spinorial energy functional
Regularity estimates prove that blow-up of the second covariant derivative of the spinor is the sole obstruction to long-time existence of the spinor flow, generalizing surface criteria to higher dimensions.