On biconservative hypersurfaces in pseudo-Riemannian space forms and their Gauss map

DOI10.2298/PIM1817223TzbMath1499.53278OpenAlexW2804793304WikidataQ115229792 ScholiaQ115229792MaRDI QIDQ5031108

Nurettin Cenk Turgay

Publication date: 18 February 2022

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim1817223t

zbMATH Keywords

biharmonic submanifoldsLorentzian hypersurfacesfinite type submanifoldsbiconservative hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• A classification of biconservative hypersurfaces in a pseudo-Euclidean space
• Biharmonic Lorentz hypersurfaces in \(E^4_1\)
• Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
• Lorentzian isoparametric hypersurfaces
• Complete classification of biconservative hypersurfaces with diagonalizable shape operator in the Minkowski 4-space
• A classification of biharmonic hypersurfaces in the Minkowski spaces of arbitrary dimension
• Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space
• Submanifolds with finite type Gauss map
• On biconservative hypersurfaces in ‐dimensional Riemannian space forms
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