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math.DG2026
Yang-Mills-Higgs-Schrödinger flow
Bo Chen, Chong Song
In this paper, we initiate the study of the Yang-Mills-Higgs-Schrödinger(YMHS) flow, i.e. the Hamiltonian flow of the Yang-Mills-Higgs functional defined on a symplectic fiber bund…
math.DG2026
Correspondence between Mean Curvature Flow and Harmonic-Ricci Flow
Tianyin Ren, Chong Song
In this paper, we observe that the (spacelike) mean curvature flow of a submanifold in a (pseudo-)Euclidean space is equivalent to a harmonic-Ricci flow with coupling constant $α=-…