Chern-Ricci harmonic functions on zero mean curvature surfaces in the three-dimensional Lorentz-Minkowski space and the rigidity of Enneper's surface
From MaRDI portal
Publication:2673032
DOI10.1016/j.jmaa.2022.126371OpenAlexW4281551461MaRDI QIDQ2673032
Publication date: 13 June 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126371
Differential geometric aspects of harmonic maps (53C43) Local submanifolds (53B25) Non-Euclidean differential geometry (53A35)
Cites Work
- Unnamed Item
- Global existence of timelike minimal surface of general co-dimension in Minkowski space time
- Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space
- Timelike minimal surfaces via loop groups
- Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
- Liouville-type properties for embedded minimal surfaces
- The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
- Weierstrass representation for timelike minimal surfaces in Minkowski 3-space
- On the proof of the positive mass conjecture in general relativity
- An introduction to Lorentz surfaces
- Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems
- Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
- Simple proofs of two theorems on minimal surfaces
- Ricci surfaces
- SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJÖRLING REPRESENTATION FORMULAE
- Harmonic functions on complete riemannian manifolds
- CAUSAL CHARACTERS OF ZERO MEAN CURVATURE SURFACES OF RIEMANN TYPE IN THE LORENTZ-MINKOWSKI 3-SPACE
- The uniqueness of Enneper’s surfaces and Chern–Ricci functions on minimal surfaces
- Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
- Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
