Showing papers by "Jun-ichi Inoguchi published in 2005"
TL;DR: In this paper, the authors show that all Sasakian 3-manifolds are pseudo-symmetric spaces of constant type, and that they are homogeneous 3-menifolds.
Abstract: Contact Homogeneous 3-manifolds are pseudo-symmetric spaces of constant type. All Sasakian 3-manifolds are pseudo-symmetric spaces of constant type.
21 citations
TL;DR: In this paper, the Bianchi-Backlund transformation of a constant mean curvature surface is shown to be equivalent to the Darboux transformation and the simple type dressing transformation.
Abstract: We show that Bianchi–Backlund transformation of a constant mean curvature surface is equivalent to the Darboux transformation and the simple type dressing.
19 citations
TL;DR: In this article, flat translation invariant surfaces in 3D Heisenberg group are classified and shown to be invariant to 3D translations. But they are not invariant against 3D collision.
Abstract: Abstract.Flat translation invariant surfaces in 3-dimensional Heisenberg group are classified.
13 citations
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TL;DR: In this paper, the authors introduce the notion of timelike surface with harmonic inverse mean curvature in 3D Lorentzian space forms, and study their fundamental properties.
Abstract: In this paper we introduce the notion of timelike surface with harmonic inverse mean curvature in 3-dimensional Lorentzian space forms, and study their fundamental properties.
8 citations
TL;DR: In this article, the geometries of surfaces in the 3-dimensional Heisenberg group with a left invariant metric are classified from a stand point of the Grassmann geometry, and for each of them the existence or nonexistence of surfaces with constant mean curvature is clarified.
Abstract: In this paper the geometries of surfaces in the 3-dimensional Heisenberg group with a left invariant metric are classified from a stand point of the Grassmann geometry, and for each of them the existence or nonexistence of surfaces with constant mean curvature is clarified.
7 citations