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.
Gromov, Positive curvature, macroscopic dimension, spectral gaps and higher signatures , Functional analysis on the eve of the 21st century, Vol
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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.