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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Later, we obtain the covariant and Lie derivatives applied to Sasakian metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we define a Sasakian metric ^{S}g on cotangent bundle T^{∗}Mⁿ, which is completely determined by its action on complete lifts of vector fields.
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Key Findings & Data:In this paper, we define a Sasakian metric ^{S}g on cotangent bundle T^{∗}Mⁿ, which is completely determined by its action on complete lifts of vector fields.
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Conclusion & Impact:Later, we obtain the covariant and Lie derivatives applied to Sasakian metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Covarient derivative · Lie derivative · Sasakian metric
Abstract
In this paper, we define a Sasakian metric ^{S}g on cotangent bundle T^{∗}Mⁿ, which is completely determined by its action on complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Sasakian metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively
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Cite This Article
Çayır, H. (2019). Derivatives of Sasakian metric ^{S}g on Cotangent Bundle. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 1. https://doi.org/10.31801/cfsuasmas.464226