Dergiler / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 6

Isotropic Riemannian submersions

Sayfa
2284–2296
Yayın Tarihi
2022-11-03
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also study λ-isotropic submersions with pointwise planar horizontal sections.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we present the notion of isotropic submersions between Riemannian manifolds.
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Temel Bulgular & Veri:We first give examples to illustrate this new notion.
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Sonuç & Katkı:We also study λ-isotropic submersions with pointwise planar horizontal sections.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O’Neill’s tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study λ-isotropic submersions with pointwise planar horizontal sections.

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Bu Makaleye Atıf Yap

ŞAHİN, B., ERDOĞAN, F. E. (2022). Isotropic Riemannian submersions. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 6, 2284–2296. https://ajindex.com/articles/607557

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Kaynakça (10)

  1. Akyol MA, Gündüzalp Y. Hemi-slant submersions from almost product Riemannian manifolds. Gulf Journal of Mathematics 2016; 4 (3): 15-27
  2. Ali S, Fatima T. Generic Riemannian submersions. Tamkang Journal of Mathematics 2013; 44 (4): 395-409. doi: 10.5556/j.tkjm.44.2013.1211 [3] Altafini C. Redundant robotic chains on Riemannian submersions. IEEE Transactions on Robotics and Automation 2004; 20 (2): 335-340. doi: 10.1109/TRA.2004.824636 [4] Beri A, Küpeli-Erken İ, Murathan C. Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Turkish Journal of Mathhematics 2016; 40 (3): 540-552. doi:10.3906/mat-1504-47 [5] Boumuki N, Maeda S. Study of isotropic immersions. Kyungpook Mathematical Journal 2005; 45 (3): 363-394
  3. Bourguingnon JP, Lawson HB. A mathematician’s visit to Kaluza-Klein theory. Rendiconti Del Seminario Matematico Università e Politecnico di Torino 1989; Special Issue: 143-163
  4. Bozdağ ŞN, Şahin B. Pointwise planar horizontal sections along Riemannian submersions. Filomat 2018; 32 (10): 3549-3556. doi: 10.2298/FIL1810549B [8] Cabrerizo JL, Fernandez M, Gomez JS. Rigidity of pseudo-isotropic immersions. Journal of Geometry and Physics 2009; 59: 834-842. doi: 10.1016/j.geomphys.2009.03.006 [9] Cheng X, Hu Z. Classification of locally strongly convex isotropic centroaffine hypersurfaces. Differential Geometry and its Applications 2019; 65: 30-54. doi: 10.1007/s00025-017-0651-2 [10] Chen BY. Geometry of Submanifolds. New York, NY, USA: Marcel Dekker, 1973
  5. Chen BY. Geometry Of Submanifolds and Its Applications. Tokyo, Japan: Science University of Tokyo, 1981
  6. Chen BY. Submanifolds with planar normal sections. Soochow Journal of Mathematics 1981; 7: 19-24
  7. Chen BY. Riemannian submanifolds. In: Dillen FJE, Verstraelen LCA (editors). Handbook of Differential Geometry. Amsterdam, Netherlands: Elseveir, 2000, pp. 187-418
  8. Falcitelli M, Ianus S, Pastore AM. Riemannian Submersions and Related Topics. River Edge, NJ, USA: World Scientific, 2004
  9. Gray A. Pseudo-Riemannian almost product manifolds and submersions. Journal of Applied Mathematics and Mechanics 1967; 16: 715-737
  10. Gündüzalp Y. Slant submersions from almost product Riemannian manifolds. Turkish Journal of Mathematics 2013; 37 (5): 863-873. doi: 10.3906/mat-1205-64 [17] Ianus S, Ionescu M, Mazzocco R, Vilcu GE. Riemannian submersions from almost contact metric manifolds. Abhandlungen aus dem Mathematischen Seminar der Univers