May 7, 2024Open Access

Capillary Surfaces in Manifolds with Nonnegative Scalar Curvature and Strictly Mean Convex Boundary

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Abstract

In this paper we use stable capillary surfaces (analogous to the -bubble construction) to study manifolds with strictly mean convex boundary and nonnegative scalar curvature. We give an obstruction to filling 2-manifolds by such 3-manifolds based on the Urysohn width. We also obtain a bandwidth estimate and establish other geometric properties of such manifolds.

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Yujie Wu (Tue,) studied this question.

synapsesocial.com/papers/68e6b4c2b6db6435876358d2 https://doi.org/https://doi.org/10.48550/arxiv.2405.03993

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