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arXiv · 1608.00460

A heat equation on a quaternionic contact manifold

Stefan Ivanov·Alexander Petkov
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Abstract

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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Stefan Ivanov, Alexander Petkov. 2016-08-01. A heat equation on a quaternionic contact manifold. https://arxiv.org/abs/1608.00460

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