Research Article

Chen invariants for Riemannian submersions and their applications

Volume: 71 Number: 4 December 30, 2022
EN

Chen invariants for Riemannian submersions and their applications

Abstract

In this paper, an optimal inequality involving the delta curvature is exposed. With the help of this inequality some characterizations about the vertical motion and the horizontal divergence are obtained.

Keywords

References

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  2. Altafini, C., Redundant robotic chains on Riemannian submersions, IEEE Robot. Autom., 20(2) (2004), 335–340. https://doi.org/10.1109/TRA.2004.824636
  3. Arslan, K., Ezenta¸s, R., Mihai, I, Murathan C., Özgür, C., B.Y Chen inequalities for submanifolds in locally conformal almost cosymplectic manifolds, Bull. Inst. Math. Acad. Sin., 29(3) (2001), 231–242.
  4. Aytimur, H., Özgür, C., Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms, J. Geom. Phys., 166 (2021), 104251. https://doi.org/10.1016/j.geomphys.2021.104251
  5. Besse, A. L., Einstein Manifolds, Berlin-Heidelberg-New York, Spinger-Verlag, 1987.
  6. Bhattacharyaa, R., Patrangenarub, V., Nonparametic estimation of location and dispersion on Riemannian manifolds, J. Statist. Plann. Inference, 108 (2002), 23–35. https://doi.org/10.1016/S0378-3758(02)00268-9
  7. Chen, B. Y., Some pinching and classification theorems for minimal submanifolds, Arch. Math., 60 (1993), 568–578. https://doi.org/10.1007/BF01236084
  8. Chen, B. Y., A Riemannian invariant and its applications to submanifold theory, Results Math., 27 (1995), 17–28. https://doi.org/10.1007/BF03322265

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

September 6, 2021

Acceptance Date

May 25, 2022

Published in Issue

Year 2022 Volume: 71 Number: 4

APA
Gülbahar, M., Eken Meriç, Ş., & Kılıç, E. (2022). Chen invariants for Riemannian submersions and their applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 71(4), 1007-1022. https://doi.org/10.31801/cfsuasmas.990670
AMA
1.Gülbahar M, Eken Meriç Ş, Kılıç E. Chen invariants for Riemannian submersions and their applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71(4):1007-1022. doi:10.31801/cfsuasmas.990670
Chicago
Gülbahar, Mehmet, Şemsi Eken Meriç, and Erol Kılıç. 2022. “Chen Invariants for Riemannian Submersions and Their Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 (4): 1007-22. https://doi.org/10.31801/cfsuasmas.990670.
EndNote
Gülbahar M, Eken Meriç Ş, Kılıç E (December 1, 2022) Chen invariants for Riemannian submersions and their applications. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71 4 1007–1022.
IEEE
[1]M. Gülbahar, Ş. Eken Meriç, and E. Kılıç, “Chen invariants for Riemannian submersions and their applications”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 71, no. 4, pp. 1007–1022, Dec. 2022, doi: 10.31801/cfsuasmas.990670.
ISNAD
Gülbahar, Mehmet - Eken Meriç, Şemsi - Kılıç, Erol. “Chen Invariants for Riemannian Submersions and Their Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 71/4 (December 1, 2022): 1007-1022. https://doi.org/10.31801/cfsuasmas.990670.
JAMA
1.Gülbahar M, Eken Meriç Ş, Kılıç E. Chen invariants for Riemannian submersions and their applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022;71:1007–1022.
MLA
Gülbahar, Mehmet, et al. “Chen Invariants for Riemannian Submersions and Their Applications”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 71, no. 4, Dec. 2022, pp. 1007-22, doi:10.31801/cfsuasmas.990670.
Vancouver
1.Mehmet Gülbahar, Şemsi Eken Meriç, Erol Kılıç. Chen invariants for Riemannian submersions and their applications. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2022 Dec. 1;71(4):1007-22. doi:10.31801/cfsuasmas.990670

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