General rotational surfaces satisfying \(\triangle x^T=\varphi x^T\)

DOI10.1007/s00009-021-01893-4zbMath1491.53008OpenAlexW3217642427MaRDI QIDQ2053772

Eray Demirbaş, Kadri Arslan, Betül Bulca

Publication date: 30 November 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01893-4

zbMATH Keywords

pointwise 1-type Gauss mapposition vector fieldgeneral rotational surfacesfinite-type surfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• SURFACES OF REVOLUTION WITH CONSTANT GAUSSIAN CURVATURE IN FOUR-SPACE
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• Submanifolds with finite type Gauss map
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• SURFACES IN <TEX>$\mathbb{E}^3$</TEX> WITH L₁-POINTWISE 1-TYPE GAUSS MAP
• ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES
• Differential geometry of rectifying submanifolds
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