Invariant vector fields on contact metric manifolds under \(\mathcal{D}\)-homothetic deformation

DOI10.3934/math.2020493zbMath1484.53112OpenAlexW3092056334MaRDI QIDQ2132324

Yaning Wang, Hui Wu

Publication date: 27 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020493

zbMATH Keywords

conformal vector fieldcontact metric manifoldRicci vector field\(\mathcal{D}\)-homothetic deformation

Mathematics Subject Classification ID

Rigidity results (53C24) Contact manifolds (general theory) (53D10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• \(D\)-homothetically deformed \(K\)-contact Ricci almost solitons
• Conformal and projective characterizations of an odd dimensional unit sphere
• D-homothetic transforms of \(\varphi\)-symmetric spaces
• The topology of contact Riemannian manifolds
• On an extended contact Bochner curvature tensor on contact metric manifolds
• Riemannian geometry of contact and symplectic manifolds

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