CMC biconservative surfaces in \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
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Publication:486591
DOI10.1016/J.JMAA.2014.12.051zbMath1306.53052arXiv1408.5437OpenAlexW279937739MaRDI QIDQ486591
Dorel Fetcu, Ana Lucia Pinheiro, Cezar Dumitru Oniciuc
Publication date: 16 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.5437
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Cites Work
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- Biconservative surfaces
- Proper biconservative immersions into the Euclidean space
- Biharmonic PNMC submanifolds in spheres
- Biharmonic submanifolds with parallel mean curvature in \(\mathbb{S}^{n}\times\mathbb{R}\)
- Biharmonic surfaces of constant mean curvature
- A classification result for helix surfaces with parallel mean curvature in product spaces
- Biharmonic hypersurfaces in Riemannian manifolds
- A Bonnet theorem for isometric immersions into products of space forms
- The stress-energy tensor for biharmonic maps
- A Hopf theorem for ambient spaces of dimensions higher than three
- Complete surfaces of finite total curvature
- On the compactness of constant mean curvature hypersurfaces with finite total curvature
- Hypersurfaces with constant scalar curvature
- Complete hypersurfaces with constant mean curvature and finite total curvature
- Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- Submanifolds with Constant Mean Curvature
- Stable complete surfaces with constant mean curvature
- Minimal Hypersurfaces in an m-Sphere
- Harmonic Mappings of Riemannian Manifolds
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