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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 1

Semi-invariant semi-Riemannian submersions

Mehmet Akif AKYOL
Yılmaz GÜNDÜZALP
Pages
80–92
Publication Date
2018-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover, weobtain curvature relations between the base manifold and the total manifold

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kähler manifolds onto semi-Riemannian manifolds.
📊
Key Findings & Data:Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions.
💡
Conclusion & Impact:Moreover, weobtain curvature relations between the base manifold and the total manifold
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Para-Kähler manifold · semi-Riemannian submersion · anti-invariantsemi-Riemannian submersion

Abstract

In this paper, we introduce semi-invariant semi-Riemannian submersions from para-Kähler manifolds onto semi-Riemannian manifolds. Wegive some examples, investigate the geometry of foliations that arise fromthe de…nition of a semi-Riemannian submersion and check the harmonicity ofsuch submersions. We also find necessary and su¢ cient conditions for a semiinvariant semi-Riemannian submersion to be totally geodesic. Moreover, weobtain curvature relations between the base manifold and the total manifold

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Cite This Article

AKYOL, M. A., GÜNDÜZALP, Y. (2018). Semi-invariant semi-Riemannian submersions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 67 - Sayı: 1, 80–92. https://ajindex.com/articles/747190

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