Dergiler / Hacettepe Journal of Mathematics and Statistics / 2014 / Volume: 43 Issue: 6

On Lagrangian submersions

Hakan Mete Taştan(ISTANBUL UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF MATHEMATICS)
Sayfa
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Yayın Tarihi
2014-12-01
DOI
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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:Research Article
📍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. 

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Bu Makaleye Atıf Yap

Taştan, H. M. (2014). On Lagrangian submersions. Hacettepe Journal of Mathematics and Statistics, Volume: 43 Issue: 6. https://ajindex.com/articles/1403351

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