Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities
DOI10.1007/s10455-021-09822-0OpenAlexW3164392383WikidataQ115384521 ScholiaQ115384521MaRDI QIDQ2140583
Publication date: 23 May 2022
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13211
sectional curvatureSobolev inequalityLi-Yau inequalitylower diameter bounds for minimal submanifoldsvarifolds on Riemannian manifolds
Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (3)
Cites Work
- \(W^{2,2}\)-conformal immersions of a closed Riemann surface into \(\mathbb{R}^n\)
- On an isoperimetric-isodiametric inequality
- On vanishing theorems for vector bundle valued \(p\)-forms and their applications
- An isoperimetric inequality for diffused surfaces
- Willmore type inequality using monotonicity formulas
- Nonlinear evolution by mean curvature and isoperimetric inequalities
- Relating diameter and mean curvature for submanifolds of Euclidean space
- Complete minimal varieties in hyperbolic space
- A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
- An isoperimetric comparison theorem
- Planar geodesic immersions
- On the diameter of closed minimal submanifolds in a real projective space
- Removability of point singularities of Willmore surfaces
- Existence of surfaces minimizing the Willmore functional
- Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
- Optimal isoperimetric inequalities for surfaces in any codimension in Cartan-Hadamard manifolds
- Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung
- On the first variation of a varifold
- Existence of integral \(m\)-varifolds minimizing \(\int |A|^p\) and \(\int |H|^p\), \(p>m\), in Riemannian manifolds
- Weakly differentiable functions on varifolds
- Relating diameter and mean curvature for Riemannian submanifolds
- Riemannian Geometry
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Lipschitz conformal immersions from degenerating Riemann surfaces with L2-bounded second fundamental forms
- Sharp Isoperimetric Inequalities for Small Volumes in Complete Noncompact Riemannian Manifolds of Bounded Geometry Involving the Scalar Curvature
- Some applications of the isoperimetric inequality for integral varifolds
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Some geometric inequalities for varifolds on Riemannian manifolds based on monotonicity identities
