Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms
From MaRDI portal
Publication:5081646
DOI10.2989/16073606.2021.1884140OpenAlexW3137253650MaRDI QIDQ5081646
Gabriel Eduard Vîlcu, Chul Woo Lee, Jae Won Lee
Publication date: 17 June 2022
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2021.1884140
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local submanifolds (53B25)
Cites Work
- Wintgen ideal submanifolds of codimension two, complex curves, and Möbius geometry
- Generalized Sasakian space forms and conformal changes of the metric
- Normal scalar curvature conjecture and its applications
- Normal scalar curvature and a pinching theorem in \(\mathbb{S}^m \times \mathbb R\) and \(\mathbb H^{m } \times \mathbb R\)
- On doubly warped product submanifolds of generalized \((\kappa,\mu)\)-space forms
- A proof of the DDVV conjecture and its equality case
- Normal curvature of surfaces in space forms
- Moebius geometry of submanifolds in \(\mathbb{S}^n\)
- Contact Riemannian manifolds with constant \(\varphi\)-sectional curvature
- Submanifolds of generalized $(k,\mu)$-space-forms
- Wintgen ideal submanifolds: reduction theorems and a coarse classification
- Semi-slant submanifolds of a Sasakian manifold
- Generalized Sasakian-space-forms
- Generalized \((\kappa,\mu)\)-space forms
- Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures
- A generalized Wintgen inequality for quaternionic CR-submanifolds
- On the generalized Wintgen inequality for Legendrian submanifolds in Sasakian space forms
- A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
- On the normal scalar curvature conjecture in Kenmotsu statistical manifolds
- Ricci and Casorati principal directions of Wintgen ideal submanifolds
- Submanifolds of codimension two attaining equality in an extrinsic inequality
- Slant immersions
- Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
- Warped product bi-slant submanifolds of cosymplectic manifolds
- Certain inequalities for the Casorati curvatures of submanifolds of generalized (k,μ)-space-forms
- Wintgen inequality for statistical surfaces
- Generalized Wintgen inequality for submanifolds in Kenmotsu space forms
- Generalized Wintgen inequality for Lagrangian submanifolds in quaternionic space forms
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms
