A heat equation on a quaternionic contact manifold

2016/08/01 by Stefan Ivanov, Ivanov, Stefan, Alexander Petkov +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1608.00460

openalex publication_date 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem
• Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un

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• Heat kernel asymptotics for quaternionic contact manifolds
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• The Almost Schur Lemma in Quaternionic Contact Geometry
• Weyl connections and the local sphere theorem for quaternionic contact structures