SavedAdd your journal

Journals / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 1

Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces

Sadık KELEŞ
Mehmet GÜLBAHAR
Erol KILIÇ
Pages
116–125
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Riemannian submersions between Lie groups and Riemannian homogeneous spaces are

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Riemannian submersions between Lie groups and Riemannian homogeneous spaces are
📊
Key Findings & Data:Riemannian submersions between Lie groups and Riemannian homogeneous spaces are
💡
Conclusion & Impact:Riemannian submersions between Lie groups and Riemannian homogeneous spaces are
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemann submersion · Lie group · Riemannian homogeneous space

Abstract

Riemannian submersions between Lie groups and Riemannian homogeneous spaces are

🔖

Cite This Article

KELEŞ, S., GÜLBAHAR, M., KILIÇ, E. (2022). Some Notes Concerning Riemannian Submersions and Riemannian Homogenous Spaces. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 1, 116–125. https://ajindex.com/articles/539651

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (20)

  1. Agricola, I., Ferreira, A. C., Tangent Lie groups are Riemannian naturally reductive spaces. Adv. in Appl. Clifford Algebras 27 (2017), 895-911
  2. Arvanitogeorgos, A., An introduction to Lie groups and the geometry of homogeneous spaces. American Mathematical Soc. 22, 2003
  3. Arvanitoyeorgos, A., Lie transformation groups and geometry. In Proceedings of the Ninth International Conference on Geometry, Integrability and Quantization (pp. 11-35). Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 2008
  4. Berdinsky, D. A., Taimanov, I. A., Surfaces in three-dimensional Lie groups. Siberian Math. J. 46(6) (2005), 1005–1019
  5. Besse, A. L., Einstein manifolds. Springer Science, Business Media, 2007
  6. Falcitelli, M., Ianus, S., Pastore, A. M., Riemannian submersions and related topics. World Scientific Company, 2004
  7. Fegan, H. D., Introduction to compact Lie groups. Vol. 13, World Scientific Publishing Company, 1991
  8. Ferus, D., Symmetric submanifolds of Euclidean space. Mathematische Annalen 247(1) (1980), 81-93
  9. Guijarro, L., Walschap, G., When is a Riemannian submersion homogeneous?. Geometriae Dedicata 125(1) (2007), 47-52
  10. Gülbahar, M., Eken Meriç S., Kılıç, E., Sharp inequalities involving the Ricci curvature for Riemannian submersions. Kragujevac J. Math. 42(2) (2017), 279-293
  11. Hsiang, W.Y., Lawson Jr, H. B., Minimal submanifolds of low cohomogeneity. J. Differential Geom. 5(1-2) (1971), 1-38
  12. Kirillov, A. A., Elements of the theory of representations. Springer-Verlag, Berlin, Heidelberg, New York 1976
  13. Kobayashi, S., Submersions of CR-submanifolds. Tohoku Math. J. 89 (1987), 95-100
  14. Megia, I. S. M., Which spheres admit a topological group structure. Rev. R. Acad. Cienc. Exactas Fıs. Quım. Nat. Zaragoza 62 (2007), 75-79
  15. O’Neill, B., Semi-Riemannian geometry with applications to relativity. Academic press, United Kingdom (1983)
  16. Pro, C., Wilhelm, F., Flats and submersions in non-negative curvature. Geometriae Dedicata 161(1) (2012), 109-118
  17. Ranjan, A., Riemannian submersions of compact simple Lie groups with connected totally geodesic fibres. Mathematische Zeitschrift 191(2) (1986), 239-246
  18. Sahin, B., Riemannian submersions, Riemannian maps in Hermitian geometry and their applications. Academic Press 2017
  19. Sepanski, M. R., Compact lie groups. Springer Science, Business Media, 2007
  20. Tapp, K., Flats in Riemannian submersions from Lie groups. Asi