Existence and uniqueness theorem for slant immersions and its applications

DOI10.1007/BF03322149zbMath0871.53016OpenAlexW1981470810MaRDI QIDQ678724

Bang-Yen Chen, Luc Vrancken

Publication date: 24 September 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322149

zbMATH Keywords

existence resultsslant immersioncomplex space form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local differential geometry of Hermitian and Kählerian structures (53B35) Local submanifolds (53B25)

Related Items (8)

On slant surfaces with constant mean curvature in \(\mathbb{C}^2\) ⋮ Special slant surfaces with non-constant mean curvature in 2-dimensional complex space forms ⋮ Special slant surfaces and a basic inequality ⋮ Spectral decomposition of the mean curvature vector field of surfaces in a Sasakian manifold \(\mathbb{R}^{2n+1}(-3)\) ⋮ Flat slant surfaces in complex projective and complex hyperbolic planes ⋮ Classification results for \(\lambda\)-biminimal surfaces in 2-dimensional complex space forms ⋮ Legendre surfaces with harmonic mean curvature vector field in the unit 5-sphere ⋮ Addendum to: Existence and uniqueness theorem for slant immersions and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Slant submanifolds in complex Euclidean spaces
• Existence and uniqueness of maps into affine homogeneous spaces
• Construction of slant immersions. II
• A Riemannian invariant and its applications to submanifold theory
• On the problem whether the image of a given differentiable map into Riemannian manifold is contained in a submanifold with parallel second fundamental form.
• On Totally Real Submanifolds
• An exotic totally real minimal immersion of S³ in ℂP³ and its characterisation

This page was built for publication: Existence and uniqueness theorem for slant immersions and its applications