An explicit Jacobian formula for the normal exponential map produces a comparison theorem that implies Fenchel-Borsuk-Chern-Lashof-type and Willmore-Chen-type inequalities for closed submanifolds in complete noncompact manifolds with nonnegative curvature and Euclidean volume growth.
Brendle, Geometric inequalities and the Alexandrov-Bakelman-Pucci technique, Preprint, available at
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A comparison theorem with applications to sharp geometric inequalities for submanifolds
An explicit Jacobian formula for the normal exponential map produces a comparison theorem that implies Fenchel-Borsuk-Chern-Lashof-type and Willmore-Chen-type inequalities for closed submanifolds in complete noncompact manifolds with nonnegative curvature and Euclidean volume growth.