Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the maximal curvature alone. We show that in higher dimensions this is not true, and for a given maximal mean curvature we provide smooth embeddings of the ball with arbitrary small volume
The volume contained within any closed, simple, piece-wise smooth boundary can be determined by inte...
In this note we use the strong maximum principle and integral estimates prove two results on minimal...
In this paper we derive some global properties of properly embedded surfaces in R3 of non-zero const...
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the ma...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
Let M be an embedded strictly stable constant mean curvature surface, and S a surface with the same ...
We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessaril...
A curvature-area inequality for planar curves with cusps is derived. Using this inequality, the tota...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
Let MM be a compact, orientable, mean convex 33-manifold with boundary ?M?M. We show that the set of...
We investigate a geometric inequality that states that in R2, the mean curvature of a closed curve γ...
Abstract. The distance of an almost constant mean curvature boundary from a finite family of disjoin...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
AbstractLet Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We sho...
International audienceAbstract We give a metric characterization of the scalar curvature of a smooth...
The volume contained within any closed, simple, piece-wise smooth boundary can be determined by inte...
In this note we use the strong maximum principle and integral estimates prove two results on minimal...
In this paper we derive some global properties of properly embedded surfaces in R3 of non-zero const...
Given a smooth simply connected planar domain, the area is bounded away from zero in terms of the ma...
In this thesis, we give a lower bound on the areas of small geodesic balls in an immersed hypersurfa...
Let M be an embedded strictly stable constant mean curvature surface, and S a surface with the same ...
We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessaril...
A curvature-area inequality for planar curves with cusps is derived. Using this inequality, the tota...
AbstractLet S be a hypersurface in Rn , n ≥ 2, and dμ = ψ dσ, where ψ ∈ C∞0 (Rn) and σ denotes the s...
Let MM be a compact, orientable, mean convex 33-manifold with boundary ?M?M. We show that the set of...
We investigate a geometric inequality that states that in R2, the mean curvature of a closed curve γ...
Abstract. The distance of an almost constant mean curvature boundary from a finite family of disjoin...
summary:For closed immersed submanifolds of Euclidean spaces, we prove that $\int |\mu |^2\, dV\geq ...
AbstractLet Ω be a bounded simply connected domain in Rn with connected boundary of class C2. We sho...
International audienceAbstract We give a metric characterization of the scalar curvature of a smooth...
The volume contained within any closed, simple, piece-wise smooth boundary can be determined by inte...
In this note we use the strong maximum principle and integral estimates prove two results on minimal...
In this paper we derive some global properties of properly embedded surfaces in R3 of non-zero const...
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