Cohomology of semi-invariant submanifolds of cosymplectic manifolds

Ramazan SARI

Makale detayları

Cohomology of semi-invariant submanifolds of cosymplectic manifolds

Yazarlar:

Ramazan SARI

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

MANAS Journal of Engineering 2021 Vol.9 Issue 1, pp.10-14

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000527829

Sıklık:

İki Yıllık

eISSN:

1694-7398

pISSN:

1694-7398

Özet:

 

In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold. Firstly, we define semi-invariant submanifolds of a cosyplectic manifold. We present an example for semi-invariant submanifold of a cosymplectic manifold.Later, We obtain characterizations, investigate the geometry of distributions which arise from the definition of semi-invariant submanifold. We obtain that invariant distribtion is always integrable and minimal. Moreover, necessary and sufficient conditions investigate for the anti-invariant distribution to be integrable and minimal. Finally, we prove that semi-invariant submanifold of a cosymplectic manifold has nontrivial de Rham cohomology class. Further, the theoretical methodology of mathematics are used to obtain results.

Makale detayları

Cohomology of semi-invariant submanifolds of cosymplectic manifolds

Yazarlar: Ramazan SARI

Yayıncı: Kyrgyz-Turkish Manas University

Ana Başlıklar: Uygulamalı fizik

Dergi: MANAS Journal of Engineering 2021 Vol.9 Issue 1, pp.10-14

Belge Tipi: Makale

Yayın Tarihi: 6/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000527829

Sıklık: İki Yıllık

eISSN: 1694-7398

pISSN: 1694-7398

Sayı

Yazarlar:

Ramazan SARI

Yayıncı:

Kyrgyz-Turkish Manas University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

MANAS Journal of Engineering 2021 Vol.9 Issue 1, pp.10-14

Belge Tipi:

Makale

Yayın Tarihi:

6/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000527829

Sıklık:

İki Yıllık

eISSN:

1694-7398

pISSN:

1694-7398