Foliated Plateau problem. I: Minimal varieties
From MaRDI portal
Publication:1190142
DOI10.1007/BF01895417zbMath0768.53011MaRDI QIDQ1190142
Publication date: 27 September 1992
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/58108
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20) Foliations (differential geometric aspects) (53C12)
Related Items
Volume and macroscopic scalar curvature, Planelike minimizers in periodic media, The trapping property of totally geodesic hyperplanes in Hadamard spaces, Riemannian hyperbolization, Dynamical systems -- past and present, Deformations of totally geodesic foliations and minimal surfaces in negatively curved 3-manifolds, Foliated Plateau problem. II: Harmonic maps of foliations, Dirac and Plateau billiards in domains with corners, Pointed $k$-surfaces, A new approach to the rigidity of discrete group actions, Higher rank hyperbolicity, Geometric superrigidity
Cites Work
- Unnamed Item
- Unnamed Item
- Minimal measures
- Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
- Complete minimal hypersurfaces in hyperbolic n-manifolds
- Harmonic mappings of Kähler manifolds to locally symmetric spaces
- Filling Riemannian manifolds
- Complete minimal varieties in hyperbolic space
- A uniqueness theorem for \(Z^ n\)-periodic variational problems
- The existence of gaps in minimal foliations
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- Spin and scalar curvature in the presence of a fundamental group. I
- Smoothness of horocycle foliations
- Applications of harmonic maps to Kähler geometry
- Curvature operators: pinching estimates and geometric examples
- Strong Rigidity of Locally Symmetric Spaces. (AM-78)
