In the present paper, we describe dual translation surfaces in the Galilean 3-space having the constant Gaussian and mean curvatures as well as Weingarten and linear Weingarten dual translation surfaces. We also study dual translation surfaces in $ \mathbb{G}_{3} $ under the condition $ \Delta ^{II}r = \lambda _{i}r_{i} $, where $ \lambda _{i}\in R $ and $ \Delta ^{II} $ denotes the Laplacian operator respect to the second fundamental form.
Citation: Nural Yüksel. On dual surfaces in Galilean 3-space[J]. AIMS Mathematics, 2023, 8(2): 4830-4842. doi: 10.3934/math.2023240
In the present paper, we describe dual translation surfaces in the Galilean 3-space having the constant Gaussian and mean curvatures as well as Weingarten and linear Weingarten dual translation surfaces. We also study dual translation surfaces in $ \mathbb{G}_{3} $ under the condition $ \Delta ^{II}r = \lambda _{i}r_{i} $, where $ \lambda _{i}\in R $ and $ \Delta ^{II} $ denotes the Laplacian operator respect to the second fundamental form.
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Nural Yüksel. On dual surfaces in Galilean 3-space[J]. AIMS Mathematics, 2023, 8(2): 4830-4842. doi: 10.3934/math.2023240
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