Biharmonic curves in Minkowski 3-space

By J. Inoguchi. 2003

52 citations recorded by the source corpus.

We give a differential geometric interpretation for the classification of biharmonic curves in semi-Euclidean 3-space due to Chen and Ishikawa (1991).

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/128f201ae2a9e514006c7137934a03aa9712304c

Citations in the corpus

• Geometry of Hasimoto Surfaces in Minkowski 3-Space (2014, unknown): “Note that ε3 = −ε1ε2, [1, 7].”
• Slant Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds (2012, unknown): “At last, we investigate curves with null normals (for such curves on Minkowski space E(3)1, see among others [3,17,18]).”
• On slant curves in Sasakian 3-manifolds (2006, unknown): “Then the biharmonic equation for non-geodesies in M is given by the following: (1) M is of constant curvature c, then K = constant and K(2) + T(2) = c ([5]), (2) M is the Minkowski 3-space, then K = constant and K(2) - r(2) = 0 ([8, 15, 16]).”