New sharp weighted Alexandrov-Fenchel and Minkowski inequalities are derived for smooth closed hypersurfaces under convexity assumptions in space forms, using arbitrary convex non-decreasing positive weights.
Reilly, Variational properties of functions of the mean curvatures for hypersurfaces in space forms, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Alexandrov-Fenchel type inequalities with convex weight in space forms
New sharp weighted Alexandrov-Fenchel and Minkowski inequalities are derived for smooth closed hypersurfaces under convexity assumptions in space forms, using arbitrary convex non-decreasing positive weights.