2024-06-23T14:38:54Z
https://nagoya.repo.nii.ac.jp/oai
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
96809
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.
journal article
Hokkaido University, Department of Mathematics
2019
application/pdf
Hokkaido Mathematical Journal
3
48
537
568
0385-4035
https://nagoya.repo.nii.ac.jp/record/29463/files/2017-784_S_Akamine.pdf
eng
https://doi.org/10.14492/hokmj/1573722017