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math.DG2016★ 1 cited
Affine translation surfaces in the isotropic 3-space
Muhittin Evren Aydin, Mahmut Ergut
The isotropic 3-space \mathbb{I}^{3} is a real affine 3-space endowed with the metric dx^{2}+dy^{2}. In this paper we describe Weingarten and linear Weingarten affine translation s…
math.DG2012
Leibniz-Dirac structures and nonconservative systems with constraints
Ünver Çiftçi
Although conservative Hamiltonian systems with constraints can be formulated in terms of Dirac structures, a more general framework is necessary to cover also dissipative systems s…