Classification of rotational surfaces in Euclidean space satisfying a linear relation between their principal curvatures
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DOI: 10.1002/mana.201800235
Abstract: We classify all rotational surfaces in Euclidean space whose principal curvatures κ1 and κ2 satisfy the linear relation κ1=aκ2+b , where a and b are two constants. As a consequence of this classification, we find… read more here.
Keywords: linear relation; principal curvatures; euclidean space; surfaces euclidean ... See more keywords
Classification of rotational surfaces with constant skew curvature in 3-space forms
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DOI: 10.1016/j.jmaa.2020.124195
Abstract: Abstract In this paper, we classify the rotational surfaces with constant skew curvature in 3-space forms. We also give a variational characterization of the profile curves of these surfaces as critical points of a curvature… read more here.
Keywords: rotational surfaces; skew curvature; constant skew; surfaces constant ... See more keywords
Rotational Surfaces with Cheng-Yau Operator in Galilean 3-spaces
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DOI: 10.15672/hujms.612730
Abstract: In this paper, we study three types of rotational surfaces in Galilean 3-spaces. We classify rotational surfaces satisfying L_1G = F(G + C) for some constant vector C in G3 and smooth function F, where L_1… read more here.
Keywords: rotational surfaces; cheng yau; yau operator; galilean spaces ... See more keywords