Vanishing theorems on hypersurfaces in $\mathbf{S}^n \times \mathbf{R} $ (Q6490246)

scientific article; zbMATH DE number 7835979

Language	Label	Description	Also known as
English	Vanishing theorems on hypersurfaces in $\mathbf{S}^n \times \mathbf{R} $	scientific article; zbMATH DE number 7835979

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instance of

scholarly article

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title

Vanishing theorems on hypersurfaces in $\mathbf{S}^n \times \mathbf{R} $ (English)

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author

Peng Zhu

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published in

Kodai Mathematical Journal

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publication date

23 April 2024

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zbMATH Keywords

total curvature

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hypersurfaces in $\mathbf{S}^n \times \mathbf{R} $

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second fundamental form

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MaRDI profile type

MaRDI publication profile

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cites work

$L^2$-harmonic 1-forms on submanifolds with finite total curvature

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The structure of weakly stable constant mean curvature hypersurfaces

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Simons-type equation for $f$-minimal hypersurfaces and applications

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Complete minimal surfaces in Euclidean $n$-spaces

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Refined Kato inequalities for harmonic fields on Kähler manifolds

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Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces

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Sobolev and isoperimetric inequalities for riemannian submanifolds

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An Estimate on the Ricci Curvature of a Submanifold and Some Applications

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Q4764210

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On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold

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Harmonic functions and the structure of complete manifolds

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VANISHING THEOREMS FOR HYPERSURFACES IN THE UNIT SPHERE

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On surfaces of finite total curvature

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Gap theorems for minimal submanifolds in $\mathbb{R}^{n+1}$

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Rigidity of minimal submanifolds in hyperbolic space

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On a class of hypersurfaces in $\mathbb{S}^n\times\mathbb{R}$ and $\mathbb{H}^n\times\mathbb{R}$

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On the $L^2$-cohomology of a convex cocompact hyperbolic manifold

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Complete surfaces of finite total curvature

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Total scalar curvature and $L^2$ harmonic 1-forms on a minimal hypersurface in Euclidean space

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Hypersurfaces in Euclidean spaces with finite total curvature

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A gap theorem on submanifolds with finite total curvature in spheres

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Sitelinks

Mathematics(1 entry)

mardi Publication:6490246

Vanishing theorems on hypersurfaces in \(\mathbf{S}^n \times \mathbf{R} \) (Q6490246)

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Sitelinks

Mathematics(1 entry)