Some triviality results for quasi-Einstein manifolds and Einstein warped products
classification
🧮 math.DG
keywords
einsteinmanifoldsproductsquasi-einsteinresultssometrivialitywarped
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In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we obtain and exploit gradient estimates for solutions of weighted Poisson-type equations and adaptations to the weighted setting of some Liouville-type theorems.
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