Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space
Filomat, Tome 37 (2023) no. 17, p. 5735
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In this paper, the relationships between geodesic torsions, normal curvatures and geodesic curvatures of the parameter curves intersecting at any angle on timelike surfaces in Lorentz-Minkowski 3-space are obtained by various equations. In addition, new equivalents of well-known formulas (O. Bonnet, Euler, Liouville) are found in this space. Finally, the examples of these surfaces are given.
Classification :
53A35, 53B30
Keywords: Timelike surface, Lorentz-Minkowski 3-space, Invariants
Keywords: Timelike surface, Lorentz-Minkowski 3-space, Invariants
Sümeyye Gür Mazlum. Geometric properties of timelike surfaces in Lorentz-Minkowski 3-space. Filomat, Tome 37 (2023) no. 17, p. 5735 . doi: 10.2298/FIL2317735G
@article{10_2298_FIL2317735G,
author = {S\"umeyye G\"ur Mazlum},
title = {Geometric properties of timelike surfaces in {Lorentz-Minkowski} 3-space},
journal = {Filomat},
pages = {5735 },
year = {2023},
volume = {37},
number = {17},
doi = {10.2298/FIL2317735G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317735G/}
}
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