scientific article; zbMATH DE number 7390792

zbMath1488.53178MaRDI QIDQ4957135

Bang-Yen Chen

Publication date: 3 September 2021

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/49/6_eng.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

twisted productconcircular vector fieldconcurrent vector fieldrectifying curvestorqued vector fieldrectifying submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local Riemannian geometry (53B20)

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Cites Work

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• Torse forming vector fields and exterior concurrent vector fields on Riemannian manifolds and applications
• Topics in differential geometry associated with position vector fields on Euclidean submanifolds
• Rectifying curves in the three-dimensional sphere
• Twisted products in pseudo-Riemannian geometry
• Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space
• More on convolution of Riemannian manifolds
• A simple characterization of generalized Robertson-Walker spacetimes
• SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• Convolution of Riemannian manifolds and its applications
• Differential geometry of rectifying submanifolds
• On the concurrent vector fields of immersed manifolds
• On the torse-forming directions in Riemannian spaces
• A curvature condition for a twisted product to be a warped product