TY  - JOUR
T1  - GEOMETRIC PHASES, MAGNETIC CURVES FOR DARBOUX FRAMES ON LIGHTLIKE AND TIMELIKE SURFACES
AU  - Gürbüz, Şerife Nevin
PY  - 2024
DA  - December
Y2  - 2024
DO  - 10.33773/jum.1558660
JF  - Journal of Universal Mathematics
JO  - JUM
PB  - Gökhan ÇUVALCIOĞLU
WT  - DergiPark
SN  - 2618-5660
SP  - 158
EP  - 174
VL  - 7
IS  - To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"
LA  - en
AB  - In this paper, we obtain ^{ND}E_{T} for null Darboux frame on timelike surface and derive V-magnetic curves for null Darboux frame on a timelike surface in the T-lines direction. Also, we present ^{¹GD}E_{T}, ^{^{²GD}}E_{T} for 1GDF, 2GDF on lightlike surfaces in the tangential direction. Later, we present μ, U-magnetic curves for 1GDF on lightlike surfaces in the T-lines direction. We obtain geometric phase in μ-lines direction for 1GDF on lightlike surface. Finally, we obtain μ,U-magnetic curves  in the μ,U-lines direction for 1GDF on lightlike surfaces.
KW  - Geometric phase
KW  - Darboux frame
KW  - magnetic curves
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UR  - https://doi.org/10.33773/jum.1558660
L1  - https://dergipark.org.tr/en/download/article-file/4252039
ER  -