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MR-AIV reveals in vivo brain-wide fluid flow with physics-informed AI. [PDF]
Toscano JD +7 more
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Space-Like Surfaces in the Minkowski Space with Pointwise 1-Type Gauss Maps [PDF]
We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps ...
U. Dursun, N. C. Turgay
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Ruled surfaces with pointwise 1-type Gauss map
Journal of Geometry and Physics, 2000It is known that the Gauss map \(G\) of a submanifold \(M\) in a pseudo-Euclidean \(m\)-space \(\mathbb E^m_s\) with index \(s\) satisfies \(\Delta G=\lambda G\) for some constant \(\lambda\) if \(M\) has 1-type Gauss map, where \(\Delta\) is the Laplacian of \(M\) [cf. \textit{B.-Y. Chen} and \textit{P. Piccinni}, Bull. Aust. Math. Soc.
Kim, Young Ho, Yoon, Dae Won
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Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map
Milan Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Jinhua, Kim, Young Ho
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Invariant surfaces with pointwise 1-type Gauss map in Sol3
Journal of Geometry, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rotation surfaces with L1-pointwise 1-type Gauss map in pseudo-Galilean space
Annales Polonici Mathematici, 2015Summary: We study rotation surfaces in the three-dimensional pseudo-Galilean space \(G_3^1\) such that the Gauss map \(G\) satisfies the condition \(L_1 G = f(G + C)\) for a smooth function \(f\) and a constant vector \(C\), where \(L_1\) is the Cheng-Yau operator.
Yoon, Dae Won +2 more
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Surfaces in the Euclidean Space E4 with Pointwise 1-Type Gauss Map
2014In this article we study surfaces in Euclidean space E 4 with pointwise 1-type Gauss map. We give a characterization of surfaces in E 4 with a pointwise 1-type Gauss map of the first kind. We conclude that an oriented non-minimal surface M in E 4 has a pointwise 1-type Gauss map of the first kind if and only if M is a surface in a 3-sphere of E 4 with ...
DURSUN, Uğur, ARSAN, Güler Gürpınar
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