A Simons type integral inequality for closed submanifolds in the product space \(\mathbb{S}^n\times\mathbb{R}\)
DOI10.1016/j.na.2021.112366zbMath1476.53088OpenAlexW3155802595MaRDI QIDQ2033045
Fábio R. dos Santos, Sylvia F. da Silva
Publication date: 14 June 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2021.112366
Clifford torusRiemannian producttotally umbilical hypersurfacessecond mean curvatureclosed submanifolds with parallel normalized mean curvature vector field
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms
- Biharmonic submanifolds with parallel mean curvature in \(\mathbb{S}^{n}\times\mathbb{R}\)
- Submanifolds with constant scalar curvature in a unit sphere
- Simons type equation in \(\mathbb S^{2}\times \mathbb R\) and \(\mathbb H^{2}\times \mathbb R\) and applications
- A maximum principle for hypersurfaces with constant scalar curvature and applications
- Isometric immersions into 3-dimensional homogeneous manifolds
- An intrinsic rigidity theorem for minimal submanifolds in a sphere
- Hypersurfaces with constant scalar curvature
- Existence and uniqueness of maps into affine homogeneous spaces
- Submanifolds with parallel mean curvature vector in spheres
- Upper bounds for the first eigenvalue of the Laplacian on compact submanifolds.
- Integral inequalities for compact hypersurfaces with constant scalar curvature in the Euclidean sphere
- Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
- New developments on constant angle property in \({\mathbb {S}}^2\times {\mathbb {R}}\)
- On complete submanifolds with parallel mean curvature in product spaces
- \(r\)-minimal submanifolds in space forms
- J. Simons' type integral formula for hypersurfaces in a unit sphere
- Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
- Local rigidity theorems for minimal hypersurfaces
- Minimal varieties in Riemannian manifolds
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
- Hypersurfaces with constant scalar curvature in space forms
This page was built for publication: A Simons type integral inequality for closed submanifolds in the product space \(\mathbb{S}^n\times\mathbb{R}\)
