A proof of a general isoperimetric inequality for surfaces
From MaRDI portal
Publication:1243916
DOI10.1007/BF01186367zbMath0369.53054OpenAlexW4237350256WikidataQ125911350 ScholiaQ125911350MaRDI QIDQ1243916
Manfredo Perdigão do Carmo, João Lucas Marques Barbosa
Publication date: 1978
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/172732
Inequalities and extremum problems involving convexity in convex geometry (52A40) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
Related Items (15)
Finiteness of the number of solutions of Plateau's problem for polygonal boundary curves. II ⋮ Rigidity of free boundary surfaces in compact 3-manifolds with strictly convex boundary ⋮ Ein Eindeutigkeitssatz für Flächen konstanter mittlerer Krümmung ⋮ A relation between height, area, and volume for compact constant mean curvature surfaces in \(\mathbb M^{2} \times \mathbb R\) ⋮ On the Hamilton's isoperimetric ratio in complete Riemannian manifolds of finite volume ⋮ Height estimates for \(H\)-surfaces in the warped product \({\mathbb {M}}\times _{f} {\mathbb {R}}\) ⋮ Liquid drops, soap bubbles and surfaces with constant mean curvature ⋮ Inégalités isopérimétriques et applications ⋮ Isoperimetric inequalities for parametric variational problems ⋮ Theories and inequalities on the satellite system ⋮ On immersions of constant mean curvature: Compactness results and finiteness theorems for Plateau's problem ⋮ Stability of minimal surfaces and eigenvalues of the Laplacian ⋮ A priori estimates of the principal curvatures for immersions of prescribed mean curvature and theorems of Bernstein-type ⋮ About the finiteness of the set of solutions of Plateau´s problem for polygonal boundary curves ⋮ Estimates in surfaces with positive constant Gauss curvature
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Zum potentialtheoretischen Aspekt der Alexandrowschen Flächentheorie
- On a differential inequality and its applications to geometry
- On isoperimetric and various other inequalities for a manifold of bounded curvature
- Le problème des isoperimetres sur les surfaces ouvertes à courbure positive
- Isoperimetrische Ungleichungen für Bereiche auf Flächen
- On the isoperimetric inequality on surfaces of variable Gaussian curvature
- Bonnesen-Style Isoperimetric Inequalities
- Subharmonic Functions and Surfaces of Negative Curvature
- Embeddings and immersions in Riemannian geometry
This page was built for publication: A proof of a general isoperimetric inequality for surfaces