Ruled singular minimal surfaces
DOI10.1016/j.geomphys.2023.105055arXiv2308.05499MaRDI QIDQ6141368
Muhittin Evren Aydin, Ayla Erdur Kara
Publication date: 4 January 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.05499
singular minimal surfaces\(\alpha\)-catenary\(\alpha\)-singular maximal surfacesspacelike ruled surfaces
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Cites Work
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- Classification of ruled surfaces with pointwise 1-type Gauss map
- Classification of ruled surfaces with pointwise 1-type Gauss map in Minkowski 3-space
- Ruled minimal surfaces in \(\mathbb R^3\) with density \(e^z\)
- On a singular variational integral with linear growth. I: Existence and regularity of minimizers
- The \(n\)-dimensional analogue of the catenary: Existence and non-existence
- The two-dimensional analogue of the catenary
- Ruled Weingarten surfaces in Minkowski 3-space
- A Bernstein result for energy minimizing hypersurfaces
- Invariant singular minimal surfaces
- Uniqueness of critical points and maximum principles of the singular minimal surface equation
- The Dirichlet problem for the \(\alpha \)-singular minimal surface equation
- The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem
- Ruled translating solitons in Minkowski 3-space
- Translating solitons for the inverse mean curvature flow
- A NONEXISTENCE THEOREM FOR THE TWO-DIMENSIONAL AMLOGUE OF THE CATENARY
- Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
- Constant Mean Curvature Surfaces with Boundary
- Classification of ruled surfaces as homothetic self-similar solutions of the inverse mean curvature flow in the Lorentz-Minkowski 3-space
- Ruled surfaces as translating solitons of the inverse mean curvature flow in the three-dimensional Lorentz-Minkowski space
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