Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-\'{E}mery Ricci curvature
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🧮 math.DG
math.GT
keywords
bakry-cheeger-gromollriccisplittingtheoremcompletecuravturecurvature
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In this paper, we prove two generalized versions of the Cheeger-Gromoll splitting theorem via the non-negativity of the Bakry-\'Emery Ricci curavture on complete Riemannian manifolds.
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