Topics in differential geometry associated with position vector fields on Euclidean submanifolds

DOI10.1016/j.ajmsc.2016.08.001zbMath1362.53005OpenAlexW2517149131WikidataQ115361963 ScholiaQ115361963MaRDI QIDQ504342

Bang-Yen Chen

Publication date: 16 January 2017

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2016.08.001

zbMATH Keywords

Ricci solitonself-shrinkerrectifying curvebiharmonic submanifoldconstant-ratio submanifoldfinite-type submanifoldposition vector fieldrectifying submanifoldThompson's law of natural growth

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (13)

Characterization of curves that Lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Euclidean submanifolds via tangential components of their position vector fields ⋮ A dynamical approach to position vector of timelike curve by vectorial momentum, torque and tangential dual curve ⋮ Classifications of quotion Yamabe solitons on Euclidean submanifolds with concurrent vector fields ⋮ Unnamed Item ⋮ Yamabe and quasi-Yamabe solitons on Euclidean submanifolds ⋮ A pair of kinematically related space curves ⋮ Euclidean submanifolds with conformal canonical vector field ⋮ Ricci solitons on pseudo-Riemannian hypersurfaces of \(4\)-dimensional Minkowski space ⋮ Submanifolds of Sasakian Manifolds with Concurrent Vector Field

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