ON THE MEAN CURVATURE OF MIXED TYPE SURFACES IN LORENTZ-MINKOWSKI SPACE
Abstract
In this paper, we study on mixed type surfaces in Lorentz-Minkowski space and give a theorem on the mean curvature of the surface with the degeneracy of first fundamental form.
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References
723–731.
[2].N.G. Pavlova and A.O. Remizov, A brief survey on singularities of geodesic flows in smooth
signature changing metrics on 2-surfaces, In: Ara´ujo dos Santos R., Menegon Neto A.,
Mond D., Saia M., Snoussi J. (eds) Singularities and Foliations. Geometry, Topology and
Applications. NBMS 2015, BMMS 2015. Springer Proceedings in Mathematics & Statistics,
pp 135–155 (2018), vol 222. Springer, Cham.
[3]. A. Honda, K. Saji, and K. Teramoto, Mixed type surfaces with bounded Gaussian curvature
in three-dimensional Lorentzian manifolds, preprint, arXiv:1811.11392.
[4]. A. Honda,Isometric deformations of mixed type surfaces in Lorentz-Minkowski space ,arXiv:1908.01967v1
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