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The aim is to explore various problems concerning scalar curvatures and the mean curvatures of boundaries in manifold structures.

November 10, 2018Open Access

Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions

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The aim is to explore various problems concerning scalar curvatures and the mean curvatures of boundaries in manifold structures.
Examined several problems related to scalar and mean curvatures in mathematical manifolds.
Utilized various theoretical frameworks and constructions to analyze curvature behavior.
Identified new relationships between scalar curvature and boundary mean curvature.
Presented results indicating potential implications for geometric analysis and manifold theory.

We present problems and findings on scalar curvatures in manifolds with boundary mean curvatures, suggesting new insights in geometric analysis.

We present several problems and results relating the scalar curvatures of manifolds with mean curvatures of their boundaries

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Misha Gromov (2018) studied this question.

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We present problems and findings on scalar curvatures in manifolds with boundary mean curvatures, suggesting new insights in geometric analysis.

We present several problems and results relating the scalar curvatures of manifolds with mean curvatures of their boundaries