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oai:nagoya.repo.nii.ac.jp:00029463 2023-01-16T04:43:11Z 697:698:699

Behavior of the Gaussian curvature of timelike minimal surfaces with singularities AKAMINE, Shintaro open access Lorentz-Minkowski space timelike minimal surface Gaussian curvature wave front singularity We prove that the sign of the Gaussian curvature, which is closely related to the diagonalizability of the shape operator, of any timelike minimal surface in the 3-dimensional Lorentz-Minkowski space is determined by the degeneracy and the signs of the two null regular curves that generate the surface. We also investigate the behavior of the Gaussian curvature near singular points of a timelike minimal surface with some kinds of singular points, which is called a minface. In particular we determine the sign of the Gaussian curvature near any non-degenerate singular point of a minface. Hokkaido University, Department of Mathematics 2019 eng journal article AM http://hdl.handle.net/2237/00031649 https://nagoya.repo.nii.ac.jp/records/29463 https://doi.org/10.14492/hokmj/1573722017 0385-4035 Hokkaido Mathematical Journal 48 3 537 568 https://nagoya.repo.nii.ac.jp/record/29463/files/2017-784_S_Akamine.pdf application/pdf 1.6 MB 2020-03-16