A new method for finding the shape operator of a hypersurface in Euclidean 4-space

DOI10.2298/FIL1817827UzbMath1499.53027OpenAlexW2940483378WikidataQ125291138 ScholiaQ125291138MaRDI QIDQ5086800

Bahar Uyar Düldül

Publication date: 7 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1817827u

zbMATH Keywords

hypersurfaceshape operatorDarboux frame

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Curves in Euclidean and related spaces (53A04) Differential invariants (local theory), geometric objects (53A55)

Uses Software

• CandS

Cites Work

• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• Differential Geometry
• Extension of the Darboux frame into Euclidean 4-space and its invariants
• A Triple Product of Vectors in Four-Space
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