Geodesic
A NOTE ON THE CLASSIFICATION OF NONCOMPACT QUASI-EINSTEIN MANIFOLDS WITH VANISHING CONDITION ON THE WEYL TENSOR
Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 336-346

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DOI

The aim of this paper is to study complete (noncompact) m-quasi-Einstein manifolds with λ=0 satisfying a fourth-order vanishing condition on the Weyl tensor and zero radial Weyl curvature. In this case, we are able to prove that an m-quasi-Einstein manifold (m>1) with λ=0 on a simply connected n-dimensional manifold(Mn, g), (n ≥ 4), of nonnegative Ricci curvature and zero radial Weyl curvature must be a warped product with (n–1)–dimensional Einstein fiber, provided that M has fourth-order divergence-free Weyl tensor (i.e. div4W =0). 
BALTAZAR, H.; NETO, M. MATOS. A NOTE ON THE CLASSIFICATION OF NONCOMPACT QUASI-EINSTEIN MANIFOLDS WITH VANISHING CONDITION ON THE WEYL TENSOR. Glasgow mathematical journal, Tome 64 (2022) no. 2, pp. 336-346. doi: 10.1017/S0017089521000136
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     title = {A {NOTE} {ON} {THE} {CLASSIFICATION} {OF} {NONCOMPACT} {QUASI-EINSTEIN} {MANIFOLDS} {WITH} {VANISHING} {CONDITION} {ON} {THE} {WEYL} {TENSOR}},
     journal = {Glasgow mathematical journal},
     pages = {336--346},
     year = {2022},
     volume = {64},
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     doi = {10.1017/S0017089521000136},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000136/}
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