On the geometry of tangent bundle of a hypersurface in R n+1
Yıl: 2021 Cilt: 45 Sayı: 5 Sayfa Aralığı: 2008 - 2024 Metin Dili: İngilizce DOI: 10.3906/mat-2102-52 İndeks Tarihi: 01-07-2022
On the geometry of tangent bundle of a hypersurface in R n+1
Öz: In this paper, tangent bundle TM of the hypersurface M in R
n+1 has been studied. For hypersurface M
given by immersion f : M → R
n+1
, considering the fact that F = df : TM → R
2n+2 is also immersion, TM is treated
as a submanifold of R
2n+2
. Firstly, an induced metric which is called rescaled induced metric has been defined on TM,
and the Levi-Civita connection has been calculated for this metric. Next, curvature tensors of tangent bundle TM have
been obtained. Finally, the orthonormal frame at the point (p, u) ∈ TM has been defined and some curvature properties
of such a tangent bundle by means of orthonormal frame for a given point have been investigated.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Yurttançıkmaz S (2021). On the geometry of tangent bundle of a hypersurface in R n+1. , 2008 - 2024. 10.3906/mat-2102-52 |
| Chicago | Yurttançıkmaz Semra On the geometry of tangent bundle of a hypersurface in R n+1. (2021): 2008 - 2024. 10.3906/mat-2102-52 |
| MLA | Yurttançıkmaz Semra On the geometry of tangent bundle of a hypersurface in R n+1. , 2021, ss.2008 - 2024. 10.3906/mat-2102-52 |
| AMA | Yurttançıkmaz S On the geometry of tangent bundle of a hypersurface in R n+1. . 2021; 2008 - 2024. 10.3906/mat-2102-52 |
| Vancouver | Yurttançıkmaz S On the geometry of tangent bundle of a hypersurface in R n+1. . 2021; 2008 - 2024. 10.3906/mat-2102-52 |
| IEEE | Yurttançıkmaz S "On the geometry of tangent bundle of a hypersurface in R n+1." , ss.2008 - 2024, 2021. 10.3906/mat-2102-52 |
| ISNAD | Yurttançıkmaz, Semra. "On the geometry of tangent bundle of a hypersurface in R n+1". (2021), 2008-2024. https://doi.org/10.3906/mat-2102-52 |
| APA | Yurttançıkmaz S (2021). On the geometry of tangent bundle of a hypersurface in R n+1. Turkish Journal of Mathematics, 45(5), 2008 - 2024. 10.3906/mat-2102-52 |
| Chicago | Yurttançıkmaz Semra On the geometry of tangent bundle of a hypersurface in R n+1. Turkish Journal of Mathematics 45, no.5 (2021): 2008 - 2024. 10.3906/mat-2102-52 |
| MLA | Yurttançıkmaz Semra On the geometry of tangent bundle of a hypersurface in R n+1. Turkish Journal of Mathematics, vol.45, no.5, 2021, ss.2008 - 2024. 10.3906/mat-2102-52 |
| AMA | Yurttançıkmaz S On the geometry of tangent bundle of a hypersurface in R n+1. Turkish Journal of Mathematics. 2021; 45(5): 2008 - 2024. 10.3906/mat-2102-52 |
| Vancouver | Yurttançıkmaz S On the geometry of tangent bundle of a hypersurface in R n+1. Turkish Journal of Mathematics. 2021; 45(5): 2008 - 2024. 10.3906/mat-2102-52 |
| IEEE | Yurttançıkmaz S "On the geometry of tangent bundle of a hypersurface in R n+1." Turkish Journal of Mathematics, 45, ss.2008 - 2024, 2021. 10.3906/mat-2102-52 |
| ISNAD | Yurttançıkmaz, Semra. "On the geometry of tangent bundle of a hypersurface in R n+1". Turkish Journal of Mathematics 45/5 (2021), 2008-2024. https://doi.org/10.3906/mat-2102-52 |
