Complete minimal submanifolds with nullity in Euclidean space
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Publication:2412542
DOI10.1007/s00209-016-1833-4zbMath1377.53008arXiv1607.08649OpenAlexW2963827193MaRDI QIDQ2412542
Andreas Savas-Halilaj, Marcos Dajczer, Theodoros Kasioumis, Theodoros Vlachos
Publication date: 23 October 2017
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.08649
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (3)
Complete minimal submanifolds with nullity in the hyperbolic space ⋮ Complete submanifolds with relative nullity in space forms ⋮ On the mean curvature of submanifolds with nullity
Cites Work
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- Cylindricity of complete Euclidean submanifolds with relative nullity
- On deformable minimal hypersurfaces in space forms
- Partial differential equations. I: Basic theory
- Gauss parametrizations and rigidity aspects of submanifolds
- Rigidity of complete Euclidean hypersurfaces
- Splitting theorems for submanifolds of nonnegative isotropic curvature
- Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions
- On complete developable submanifolds in complex Euclidean spaces
- Hypersurfaces with parallel Ricci tensor in spaces of constant curvature
- Complete real Kähler Euclidean hypersurfaces are cylinders
- A general form of the weak maximum principle and some applications
- A Dajczer-Rodriguez type cylinder theorem for real Kähler submanifolds
- Complete real Kähler submanifolds in codimension two
- Bernstein type theorems without graphic condition
- Minimal hypersurfaces with zero Gauss-Kronecker curvature
- Complete minimal hypersurfaces in the hyperbolic space ℍ⁴ with vanishing Gauss-Kronecker curvature
- Curvature estimates for minimal submanifolds of higher codimension and small G-rank
- Maximum Principles and Geometric Applications
- Cylindricity of Isometric Immersions into Euclidean Space
- Maximum principles on Riemannian manifolds and applications
- On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
- Harmonic Mappings of Riemannian Manifolds
- A class of austere submanifolds
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