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- W2951001074 abstract "We prove a splitting theorem for Riemannian n-manifolds with scalar curvature bounded below by a negative constant and containing certain area-minimising hypersurfaces (Theorem 3). Thus we generalise [25,Theorem 3] by Nunes. This splitting result follows from an area comparison theorem for hypersurfaces with non-positive Sigma-constant (Theorem 4) that generalises [23, Theorem 2]. Finally, we will address the optimality of these comparison and splitting results by explicitly constructing several examples." @default.
- W2951001074 created "2019-06-27" @default.
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- W2951001074 date "2013-09-04" @default.
- W2951001074 modified "2023-09-27" @default.
- W2951001074 title "On Area Comparison and Rigidity Involving the Scalar Curvature" @default.
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