21 citations · 97 across the 20 of their papers we have counts for
5 papers · 1 filter
Mean Curvature in the Light of Scalar Curvature
Misha Gromov
We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bonds on their scalar curvatures, and prove a few theo…
Hilbert Volume in Metric Spaces
Misha Gromov
We introduce a notion of Hilbertian n-volume in metric spaces with Besicovitch-type inequalities built-in into the definitions. which, ultimately, may turn useful for an approach t…
Dirac and Plateau Billiards in Domains with Corners
Misha Gromov
We study metrics with positive scalar curvatures in domains with corners and suggest possible extensions of the concept of positive scalar curvature to singular spaces.
Plateau Stein Manifolds
Misha Gromov
We study/construct (proper and non-proper) Morse functions on complete Riemannian manifolds, the level hypersurfaces of which have positive mean curvatures at all non-critical poin…
Scalar Curvature of Manifolds with Boundaries: Natural Questions and Artificial Constructions
Misha Gromov
We present several problems and results relating the scalar curvatures of manifolds with mean curvatures of their boundaries