On critical point equation of compact manifolds with zero radial Weyl curvature

DOI10.1007/s10711-018-0417-3zbMath1423.53044arXiv1709.09681OpenAlexW2963680403WikidataQ128772341 ScholiaQ128772341MaRDI QIDQ2273274

Halyson I. Baltazar

Publication date: 18 September 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09681

zbMATH Keywords

Weyl tensorYamabe invariantcritical point equationtotal scalar curvature functionalEinstein Manifoldspace of smooth metrics

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (15)

Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Besse conjecture with positive isotropic curvature ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Conformal vector fields and their applications to Einstein-type manifolds ⋮ On Einstein-type almost Kenmotsu manifolds ⋮ Einstein-type metrics on almost Kenmotsu manifolds ⋮ Critical metrics of the volume functional with pinched curvature ⋮ A note on critical point equations on three-dimensional cosymplectic manifolds ⋮ Vanishing conditions on Weyl tensor for Einstein-type manifolds ⋮ On Einstein-type contact metric manifolds ⋮ Remarks on compact quasi-Einstein manifolds with boundary ⋮ On static manifolds and related critical spaces with cyclic parallel Ricci tensor ⋮ On static manifolds and related critical spaces with zero radial Weyl curvature ⋮ Gap theorems on critical point equation of the total scalar curvature with divergence-free Bach tensor ⋮ Besse conjecture for compact manifolds with pinched curvature

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