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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions.
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Temel Bulgular & Veri:We prove that the horizontal distribution of a Lagrangian submersion from a Kählerian manifold is integrable.
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Sonuç & Katkı:Moreover, we investigate the effect of the submersion to the geometry of its total manifold and its fibers.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
TAŞTAN, H. M. (2022). On Lagrangian submersions. Hacettepe Journal of Mathematics and Statistics, Cilt: 43 - Sayı: 6, 993–1000. https://ajindex.com/articles/530331