An Obata-type theorem on compact Einstein manifolds with boundary
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DOI: 10.1007/s10711-021-00598-y
Abstract: We show a kind of Obata-type theorem on a compact Einstein n -manifold $$(W, \bar{g})$$ ( W , g ¯ ) with smooth boundary $$\partial W$$ ∂ W . Assume that the boundary $$\partial W$$… read more here.
Keywords: compact einstein; bar; obata type; einstein ... See more keywords
Multiply warped products with compact Einstein manifolds
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DOI: 10.2989/16073606.2020.1746933
Abstract: Abstract We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive. It is also found that there… read more here.
Keywords: einstein manifolds; multiply warped; products compact; compact einstein ... See more keywords