Generalizes Ricci flow to brane flows with n-forms, proves monotonicity for fixed field-dependent volume flows and that steady solitons are gradient solitons, including a new functional for Chern-Simons cases.
Scale and conformal invariance in heterotic σ-models
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Riemannian manifolds with a closed parallel torsion 3-form are locally N × G (G semisimple), enabling simplified proofs and explicit classification of strong G2, Spin(7), and certain 8D HKT manifolds.
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Brane flows
Generalizes Ricci flow to brane flows with n-forms, proves monotonicity for fixed field-dependent volume flows and that steady solitons are gradient solitons, including a new functional for Chern-Simons cases.
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On the rigidity of special and exceptional geometries with torsion a closed $3$-form
Riemannian manifolds with a closed parallel torsion 3-form are locally N × G (G semisimple), enabling simplified proofs and explicit classification of strong G2, Spin(7), and certain 8D HKT manifolds.