The spread of the shape operator as a curvature invariant for a smooth hypersurface
zbMATH Open1543.53013MaRDI QIDQ6551728
Publication date: 7 June 2024
Published in: Houston Journal of Mathematics (Search for Journal in Brave)
Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25) Local Riemannian geometry (53B20) Differential invariants (local theory), geometric objects (53A55) Methods of local Riemannian geometry (53B21)
Cites Work
- New curvature inequalities for hypersurfaces in the Euclidean ambient space
- Hypersurfaces with two distinct principal curvatures in a real space form
- Some pinching and classification theorems for minimal submanifolds
- La déformation des hypersurfaces dans l'espace \textit{euclidien} réel à \(n\) dimensions.
- La déformation des hypersurfaces dans l'espace conforme réel à \(n\geqq 5\) dimensions.
- Sur certaines hypersurfaces de l'espace conforme réel à cinq dimensions.
- On hypersurfaces with two distinct principal curvatures in space forms
- Transferred kinematic formulae in two point homogeneous spaces
- Total Mean Curvature and Submanifolds of Finite Type
- The spread of a matrix
- Mean curvature and shape operator of isometric immersions in real-space-forms
- An Invariant of Conformal Mappings
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