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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
To validate our findings, we construct a nontrivial example of a $3$-dimensional Riemannian manifold equipped with a semisymmetric nonmetric connection.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establish its existence.
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Temel Bulgular & Veri:It is proved that such connection on a Riemannian manifold is projectively invariant under certain conditions.
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Sonuç & Katkı:To validate our findings, we construct a nontrivial example of a $3$-dimensional Riemannian manifold equipped with a semisymmetric nonmetric connection.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Riemannian manifold · semisymmetric nonmetric connection · different curvature tensors
Abstract
We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establish its existence. It is proved that such connection on a Riemannian manifold is projectively invariant under certain conditions. We also find many basic results of the Riemannian manifolds and study the properties of group manifolds and submanifolds of the Riemannian manifolds with respect to the semisymmetric nonmetric connection. To validate our findings, we construct a nontrivial example of a $3$-dimensional Riemannian manifold equipped with a semisymmetric nonmetric connection.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
CHAUBEY, S. K., YILDIZ, A. (2019). Riemannian manifolds admitting a new type of semisymmetric nonmetric connection. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1887–1904. https://ajindex.com/articles/208976