A heat equation on a quaternionic contact manifold
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🧮 math.DG
math.AP
keywords
equationheatcontactenergyfunctionalmanifoldquaternionicalong
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A quaternionic contact (qc) heat equation and the corresponding qc energy functional are introduced. It is shown that the qc energy functional is monotone non-increasing along the qc heat equation on a compact qc manifold provided certain positivity conditions are satisfied.
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