Hypersurface families with common non-null geodesic in Minkowski 4-space

Turan, Çiǧdem; Altin, Mustafa; Karadağ, H. Bayram

doi:10.32513/asetmj/19322008211

Cited by 2 publications

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References 7 publications

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“…Furthermore, the differential geometry of different types of (hyper)surfaces in 4-D spaces has been a popular topic for geometers, recently, [17,[28][29][30][31][32][33][34][35], and etc. If Ω: U ⊂ E 3 → E 4 is a hypersurface in E 4 parametrized by: ( )…”

Section: Introductionmentioning

confidence: 99%

Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space

Kazan

2022

THERM SCI

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In the present study, we deal with canal hypersurfaces according to extended Darboux frame field of second kind in Euclidean 4-space (E4) and in this context, firstly we obtain the Gaussian, mean and principal curvatures of the canal hypersurface according to extended Darboux frame field of second kind and give some results for flatness and minimality of these hypersurfaces in E4. Also, we give some results for Weingarten canal hypersurfaces according to extended Darboux frame field of second kind in E4 and finally, we construct an example.

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Section: Introductionmentioning

confidence: 99%

Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space

Kazan

2022

THERM SCI

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“…(2013) yüzey ailelerini ortak bir asimptotik eğri ve üç tür sapma ölçek fonksiyonları ile ifade etmiştir. Minkowski uzayında yüzey aileri ile ilgili diğer bazı çalışmalar da (Ergün and Bayram 2019, Kocayiğit and Çiçek 2015, Ergün et al 2015, Turan et al 2022 vardır. Ayrıca Galilean uzayında da hiperyüzey aileleriyle ilgili çalışmalara yer verilmiştir.…”

Section: Introductionunclassified

Hypersurfaces Families with Common Non-Null Isoasymptotic Curve in Lorentz Minkowski 4-Space

Turan

Altin

Karadağ

2022

EJOSAT

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In this study, the parametric equation of hypersurfaces passing through the spacelike and timelike curves that has non-null Frenet vectors in E_1^4 Lorentz Minkowski space was expressed with the help of this curve is Frenet frame. Furthermore, hypersurface families were created by giving necessary and sufficient conditions so that the spacelike and timelike curves on E_1^4 is common isoasymptotic on the hypersurface. Then, these conditions obtained with the help of deviation marching-scale functions were simplified. Finally, the study was supported with examples and the graphics were drawn using certain projection methods.

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Hypersurface families with common non-null geodesic in Minkowski 4-space

Cited by 2 publications

References 7 publications

Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space

Canal hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space

Hypersurfaces Families with Common Non-Null Isoasymptotic Curve in Lorentz Minkowski 4-Space

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