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Dergiler / International Electronic Journal of Geometry / 2022 / Volume: 15 Issue: 2

The de Rham Cohomology Group of a Hemi-Slant Submanifold in Metallic Riemannian Manifolds

Mustafa Gök(Sivas Cumhuriyet University)0000-0001-6346-0758
Sayfa
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Yayın Tarihi
2022-10-31
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, we analyzed the non-triviality of this cohomology class In the end, we construct two examples which enable better expressing the main results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we answer the question under what conditions a hemi-slant submanifold of locally decomposable metallic Riemannian manifolds admits a well defined canonical de Rham cohomology class.
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Temel Bulgular & Veri:Firstly, we give the integrability and minimality conditions of the distributions arose from its definition.
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Sonuç & Katkı:Furthermore, we analyzed the non-triviality of this cohomology class In the end, we construct two examples which enable better expressing the main results.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:De Rham cohomology group · metallic Riemannian manifold · hemi-slant submanifold

Abstract

In this study, we answer the question under what conditions a hemi-slant submanifold of locally decomposable metallic Riemannian manifolds admits a well defined canonical de Rham cohomology class. Firstly, we give the integrability and minimality conditions of the distributions arose from its definition. Later, we find some necessary conditions depending on the above-named concepts of the associated distributions for such a type of submanifold to define a de Rham cohomology class. Furthermore, we analyzed the non-triviality of this cohomology class In the end, we construct two examples which enable better expressing the main results.

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Bu Makaleye Atıf Yap

Gök, M. (2022). The de Rham Cohomology Group of a Hemi-Slant Submanifold in Metallic Riemannian Manifolds. International Electronic Journal of Geometry, Volume: 15 Issue: 2. https://doi.org/10.36890/iejg.1118628

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