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The heat flow for \(H\)-systems on higher dimensional manifolds. (English) Zbl 1210.53065

Summary: We investigate \(H\)-systems on higher dimensional Riemannian manifolds and their heat flow for a non-constant function \( H \). We establish global existence and uniqueness of a solution to the \(H\)-system flow under certain conditions.

MSC:

53C44 Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
35K05 Heat equation
53C40 Global submanifolds
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