GOLDEN- AND PRODUCT-SHAPED HYPERSURFACES IN REAL SPACE FORMS

DOI10.1142/S0219887813200065zbMath1268.53004OpenAlexW2140673263MaRDI QIDQ4917801

Marian Ioan Munteanu, Cristina-Elena Hreţcanu, Mircea Crasmareanu

Publication date: 2 May 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887813200065

zbMATH Keywords

hypersurfaceshape operatorprincipal curvaturesisoparametric hypersurfacealmost product structuregolden structure

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items

Slant and semi-slant submanifolds in metallic Riemannian manifolds ⋮ A class of special hypersurfaces in real space forms ⋮ Finite Blaschke products and the golden ratio ⋮ Pythagorean submanifolds in Euclidean spaces ⋮ The Stability Problem of Certain Anti-Invariant Submanifolds in Golden Riemannian Manifolds ⋮ Lightlike hypersurfaces of metallic semi-Riemannian manifolds ⋮ A Neutral relation between metallic structure and almost quadratic φ -structure ⋮ The classification of golden shaped hypersurfaces in Lorentz space forms ⋮ Submanifolds in metallic Riemannian manifolds ⋮ Hypersurfaces of a Metallic Riemannian Manifold ⋮ Remarks on metallic warped product manifolds ⋮ Hypersurfaces immersed in a golden Riemannian manifold ⋮ Classification of product shaped hypersurfaces in Lorentz space forms

Cites Work

• On submanifolds whose shape operator is unipotent
• Golden ratio in science, as random sequence source, its computation and beyond
• CR submanifolds of complex projective space
• Homogeneity and some curvature conditions for hypersurfaces
• ISOMETRIC IMMERSIONS INTO LORENTZIAN PRODUCTS
• SEMI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
• CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES
• ON EULER'S THEOREM IN SEMI-EUCLIDEAN SPACES $\mathbb{E}_{v}^{n+1}$
• GEOMETRICAL ASPECTS OF MIXED TORSIONLESS TENSOR FIELDS
• From golden spirals to constant slope surfaces

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