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A global weak solution to the full bosonic string heat flow. (arXiv:1710.09242v2 [math.DG] UPDATED)

来源于:arXiv
We prove the existence of a unique global weak solution to the full bosonic string heat flow from closed Riemannian surfaces to an arbitrary target under smallness conditions on the two-form and the scalar potential. The solution is smooth with the exception of finitely many singular points. Finally, we discuss the convergence of the heat flow and obtain a new existence result for critical points of the full bosonic string action. 查看全文>>