An Entropy Formula for the Heat Equation on a Quaternionic Contact Manifold

DOI10.7546/CRABS.2019.10.01zbMath1463.53052OpenAlexW2987020948MaRDI QIDQ4971176

Alexander Petkov

Publication date: 9 October 2020

Full work available at URL: https://doi.org/10.7546/crabs.2019.10.01

zbMATH Keywords

heat equationenergy functionalquaternionic contact structures\( P \)-functionLichnerowitz inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Sub-Riemannian geometry (53C17)

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