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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
To validateour findings, we construct a nontrivial example of a 3-dimensional Riemannian manifold equipped with a semisymmetricnonmetric connection.
📌 3 Key Takeaways
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Objective & Hypothesis:We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establishits existence.
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Key Findings & Data:It is proved that such connection on a Riemannian manifold is projectively invariant under certainconditions.
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Conclusion & Impact:To validateour findings, we construct a nontrivial example of a 3-dimensional Riemannian manifold equipped with a semisymmetricnonmetric connection.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
We define a new type of semisymmetric nonmetric connection on a Riemannian manifold and establishits existence. It is proved that such connection on a Riemannian manifold is projectively invariant under certainconditions. We also find many basic results of the Riemannian manifolds and study the properties of group manifoldsand submanifolds of the Riemannian manifolds with respect to the semisymmetric nonmetric connection. To validateour findings, we construct a nontrivial example of a 3-dimensional Riemannian manifold equipped with a semisymmetricnonmetric connection.
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Cite This Article
CHAUBEY, S. K., YILDIZ, A. (2022). Riemannian manifolds admitting a new type of semisymmetric nonmetric connection. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1887–1904. https://ajindex.com/articles/608016