The Fischer-Marsden conjecture and contact geometry

DOI10.1007/s10998-017-0220-1zbMath1413.53094OpenAlexW2768069561WikidataQ122925320 ScholiaQ122925320MaRDI QIDQ722334

Amalendu Ghosh, Dhriti Sundar Patra

Publication date: 23 July 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0220-1

zbMATH Keywords

Sasakian manifoldEinstein manifold\(K\)-contact manifold\((\kappa, \mu)\)-contact manifoldFischer-Marsden equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Cites Work

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• A differential equation arising from scalar curvature function
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• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Connections between differential geometry and topology. I. Simply connected surfaces
• A note on Fischer-Marsden’s conjecture
• Manifolds of Riemannian metrics with prescribed scalar curvature
• Killing fields generated by multiple solutions to the Fischer–Marsden equation
• Riemannian geometry of contact and symplectic manifolds
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations

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