Killing fields generated by multiple solutions to the Fischer–Marsden equation

DOI10.1142/S0129167X15400066zbMath1343.53037MaRDI QIDQ5256449

Paul Cernea, Zhuang-Dan Guan

Publication date: 17 June 2015

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

isometry groupeigenfunctionsEinstein metricsconstant scalar curvatureKilling vector fieldscritical metricselliptic PDE systemscalar curvature functionalFischer-Marsden solutionslinearization of scalar curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Rigidity results (53C24) Critical metrics (58E11) Foliations (differential geometric aspects) (53C12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) (G)-structures (53C10) Methods of local Riemannian geometry (53B21)

Related Items (17)

Unnamed Item ⋮ Ricci-Bourguignon solitons on real hypersurfaces in the complex hyperbolic quadric ⋮ Certain almost Kenmotsu metrics satisfying the vacuum static equation ⋮ Ricci–Bourguignon solitons on real hypersurfaces in the complex hyperbolic space ⋮ Real hypersurfaces with pseudo-Ricci-Bourguignon soliton in the complex two-plane Grassmannians ⋮ Real hypersurfaces with Ricci–Bourguignon soliton in the complex two-plane Grassmannians ⋮ RICCI-BOURGUIGNON AND GRADIENT SOLITONS ON REAL HYPERSURFACES IN THE COMPLEX QUADRIC ⋮ On Einstein-type almost Kenmotsu manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kenmotsu manifolds satisfying the Fischer-Marsden equation ⋮ On Einstein-type contact metric manifolds ⋮ The Fischer-Marsden conjecture and contact geometry ⋮ Real hypersurfaces of complex space forms satisfying Fischer-Marsden equation ⋮ The Fischer-Marsden conjecture on almost Kenmotsu manifolds ⋮ Killing fields generated by multiple solutions to the Fischer–Marsden equation II ⋮ A note on some remarkable differential equations on a Riemannian manifold

Cites Work

• Classification of compact homogeneous pseudo-Kähler manifolds
• A note on common zeroes of Laplace-Beltrami eigenfunctions
• Type I almost homogeneous manifolds of cohomogeneity one. III
• A remark about static space times
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Classification of compact complex homogeneous spaces with invariant volumes
• STABILITY OF HERMITIAN VECTOR BUNDLES—A QUANTITATIVE POINT OF VIEW
• A Report on Harmonic Maps
• EXISTENCE OF EXTREMAL METRICS ON ALMOST HOMOGENEOUS MANIFOLDS OF COHOMOGENEITY ONE — III
• Existence of Extremal Metrics on Compact Almost homogeneous Kahler Manifolds with Two Ends

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