Cover Image

A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Soares, Matheus Nunes, Santos, Fábio Reis dos
Format:	Preprint
Published:	2024
Subjects:	Differential Geometry 53C42, 53A10, 53C20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds
by: Soares, Matheus Nunes, et al.
Published: (2025)

On the first eigenvalue of the Hodge Laplacian of submanifolds
by: Onti, Christos-Raent
Published: (2025)

Ricci pinched compact submanifolds in spheres
by: Dajczer, Marcos, et al.
Published: (2023)

Willmore surfaces and Hopf tori in homogeneous 3-manifolds
by: Albujer, Alma L., et al.
Published: (2024)

Volume gap between the minimal submanifold and the unit sphere
by: Ding, Weiran, et al.
Published: (2024)

Total mean curvature surfaces in the product space $\mathbb{S}^n\times\mathbb{R}$ and applications
by: Albujer, Alma L., et al.
Published: (2024)

The rigidity of minimal Legendrian submanifolds in the Euclidean spheres via eigenvalues of fundamental matrices
by: Wu, Pei-Yi, et al.
Published: (2024)

Topological and geometric rigidity of nonnegatively curved submanifolds
by: Vlachos, Theodoros
Published: (2025)

Complete families of embedded high genus CMC surfaces in the 3-sphere (with an appendix by Steven Charlton)
by: Heller, Lynn, et al.
Published: (2021)

On the geometry of the asymptotic boundary of translators in $\mathbb H^2\times \mathbb R$
by: Pipoli, Giuseppe, et al.
Published: (2025)

Free boundary saddle disks in the unit ball
by: Cerezo, Alberto
Published: (2025)

Minimal graphs over non-compact domains in 3-manifolds fibered by a Killing vector field
by: Del Prete, Andrea
Published: (2023)

A lower bound for the first eigenvalue of a minimal hypersurface in the sphere
by: Jiménez, Asun, et al.
Published: (2024)

Volume gap for minimal submanifolds in spheres
by: Ge, Jianquan, et al.
Published: (2022)

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature
by: Ji, Meng, et al.
Published: (2025)

A gap Theorem on closed self-shrinkers of mean curvature flow
by: Zhao, Yuhang
Published: (2025)

Primitive immersions of constant curvature of surfaces into flag manifolds
by: Pacheco, Rui, et al.
Published: (2025)

Conformal properties of spheres
by: Simanca, Santiago R.
Published: (2024)

Minimal reflection surfaces in $\mathbb S^3.$ Combinatorics of curvature lines and minimal surfaces based on fundamental pentagons
by: Bobenko, Alexander I., et al.
Published: (2024)

Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains
by: Jia, Xiaohan, et al.
Published: (2023)

On intrinsic rotational surfaces in the Lorentz-Minkowski space
by: Kaya, Seher, et al.
Published: (2024)

Maximal translation surfaces in Lorentz-Minkowski space
by: López, Rafael
Published: (2025)

Sequences of surfaces in $4$-manifolds
by: Ville, Marina
Published: (2025)

Invariant constant mean curvature tubes in homogeneous spaces
by: Käse, Philipp, et al.
Published: (2024)

Solitons of the mean curvature flow in $\mathbb{s}^2\times\mathbb{R}$
by: López, Rafael, et al.
Published: (2024)

A family of higher genus complete minimal surfaces that includes the Costa-Hoffman-Meeks one
by: Onnis, Irene I., et al.
Published: (2023)

Rectifying submanifolds of Riemannian manifolds with anti-torqued axis
by: Aydin, Muhittin Evren, et al.
Published: (2024)

Multiplicity one for equivariant min-max theory in prescribed homology classes
by: Wang, Tongrui
Published: (2026)

On the index of minimal hypersurfaces in $\mathbb{S}^{n+1}$ with $λ_1<n$
by: Chen, Hang, et al.
Published: (2024)

Complete Minimal Surfaces in $\mathbb{R}^4$ with Three Embedded Planar Ends
by: Lee, Jaehoon, et al.
Published: (2025)

Some structure theorems for Weingarten surfaces
by: Benedetti, Angelo
Published: (2025)

Stability of cylinders in $\mathbb{E}(κ,τ)$ homogeneous spaces
by: Bueno, Antonio, et al.
Published: (2024)

Homothetical surfaces with constant mean curvature in hyperbolic space
by: Belli, Rafael, et al.
Published: (2026)

Gauss curvature solitons on invariant surfaces in the homogeneous space Sol
by: Belli, Rafael, et al.
Published: (2026)

Equivariant min-max theory and the spherical Bernstein problem in $\mathbb{S}^4$
by: Wang, Tongrui, et al.
Published: (2026)

Finite Index and Do Carmo Question for Constant Mean Curvature Hypersurfaces
by: Nelli, Barbara, et al.
Published: (2026)

The higher-order Henneberg-type minimal surfaces family in $\mathbb{R}^4$
by: Güler, Erhan, et al.
Published: (2025)

Free boundary minimal annuli in geodesic balls of $\mathbb{H}^3$
by: Cerezo, Alberto
Published: (2025)

Do Carmo's problem for CMC hypersurfaces in $\mathbb{R}^6$
by: Chen, Jingche, et al.
Published: (2025)

Free boundary CMC annuli in spherical and hyperbolic balls
by: Cerezo, Alberto, et al.
Published: (2024)