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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions.
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Key Findings & Data:We prove that the horizontal distribution of a Lagrangian submersion from a Kählerian manifold is integrable.
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Conclusion & Impact:Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemannian submersion · Lagrangian submersion · horizontal distribution
Abstract
In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kählerian manifold is integrable. We also give some applications of this result. Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.
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Cite This Article
TAŞTAN, H. M. (2022). On Lagrangian submersions. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 6, 993–1000. https://ajindex.com/articles/530331