Three-Dimensional CR Submanifolds in S6(1)S6(1)S^6(1) with Umbilical Direction Normal to D3D3\mathcal{D}_3

Miroslava ANTİC; Djordje KOCİC

doi:https://doi.org/10.36890/iejg.790910

Makale detayları

Three-Dimensional CR Submanifolds in S6(1)S6(1)S^6(1) with Umbilical Direction Normal to D3D3\mathcal{D}_3

Yazarlar:

Miroslava ANTİC | Djordje KOCİC

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.125-131

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000471593

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.790910

Özet:

 

It is well known that the sphere S6(1)S6(1)S^6(1) admits an almost complex structure JJJ which is nearly K\"{a}hler. A submanifold MMM of an almost Hermitian manifold is called a CR submanifold if it admits a differentiable almost complex distribution D1D1\mathcal{D}_1 such that its orthogonal complement is a totally real distribution. In this case the normal bundle of the submanifold also splits into two distributions D3D3\mathcal{D}_3, which is almost complex, and a totally real complement. In the case of the proper three-dimensional CR submanifold of a six-dimensional manifold the distribution D3D3\mathcal{D}_3 is non-trivial. Here, we investigate three-dimensional CR submanifolds of the sphere S6(1)S6(1)S^6(1) admitting an umbilic direction orthogonal to D3D3\mathcal{D}_3 and show that such submanifolds do not exist.  .

Makale detayları

Three-Dimensional CR Submanifolds in S6(1)S6(1)S^6(1) with Umbilical Direction Normal to D3D3\mathcal{D}_3

Yazarlar: Miroslava ANTİC | Djordje KOCİC

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.125-131

Belge Tipi: Makale

Yayın Tarihi: 4/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000471593

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.790910

Sayı

Yazarlar:

Miroslava ANTİC | Djordje KOCİC

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2021 Vol.14 Issue 1, pp.125-131

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000471593

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.790910