Introduces the vertical Â-cowaist invariant for partitioned manifolds and derives sharp inequalities relating it to scalar curvature and Laplacian bottom spectrum via deformed Dirac operators, with applications to high-dimensional estimates and boundary versions of prior theorems.
Zhu, Calabi-Yau type theorem for complete manifolds with nonnegative scalar curvature (2024), avail- able at https://arxiv.org/abs/2402.15118
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Bottom spectrum, vertical $\widehat{A}$-cowaist and scalar curvature rigidity
Introduces the vertical Â-cowaist invariant for partitioned manifolds and derives sharp inequalities relating it to scalar curvature and Laplacian bottom spectrum via deformed Dirac operators, with applications to high-dimensional estimates and boundary versions of prior theorems.