Quarter-symmetric metric connection on a p-Kenmotsu manifold
-
Bhawana Chaube
bhawanachaube18@gmail.com
-
S. K. Chanyal
skchanyal.math@gmail.com
Downloads
DOI:
https://doi.org/10.56754/0719-0646.2601.153Abstract
In the present paper we study para-Kenmotsu (p-Kenmotsu) manifold equipped with quarter-symmetric metric connection and discuss certain derivation conditions.
Keywords
Mathematics Subject Classification:
S. C. Biswas and U. C. De, “Quarter-symmetric metric connection in an SP-Sasakian manifold,” Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 46, no. 1-2, pp. 49–56, 1997.
A. De, “On Kenmotsu manifold,” Bull. Math. Anal. Appl., vol. 2, no. 3, pp. 1–6, 2010.
U. C. De and G. Pathak, “On 3-dimensional Kenmotsu manifolds,” Indian J. Pure Appl. Math., vol. 35, no. 2, pp. 159–165, 2004.
U. C. De and J. Sengupta, “Quater-symmetric metric connection on a Sasakian manifold,” Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 49, no. 1-2, pp. 7–13, 2000.
U. C. De, D. Mandal, and K. Mandal, “Some characterizations of Kenmotsu manifolds admitting a quarter-symmetric metric connection,” Bull. Transilv. Univ. Braşov Ser. III, vol. 9(58), no. 1, pp. 39–52, 2016.
A. Friedman and J. A. Schouten,“Über die Geometrie der halbsymmetrischen Übertragungen,” Math Z, vol. 21, pp. 211–223, 1924, doi: 10.1007/BF01187468.
S. Gołąb, “On semi-symmetric and quarter-symmetric linear connections,” Tensor (N.S.), vol. 29, no. 3, pp. 249–254, 1975.
A. Haseeb and R. Prasad, “Certain results on Lorentzian para-Kenmotsu manifolds,” Bol. Soc. Parana. Mat. (3), vol. 39, no. 3, pp. 201–220, 2021.
J.-B. Jun, U. C. De, and G. Pathak, “On Kenmotsu manifolds,” J. Korean Math. Soc., vol. 42, no. 3, pp. 435–445, 2005, doi: 10.4134/JKMS.2005.42.3.435.
K. Kenmotsu, “A class of almost contact Riemannian manifolds,” Tohoku Math. J. (2), vol. 24, pp. 93–103, 1972, doi: 10.2748/tmj/1178241594.
M. Kon and K. Yano, Structures on manifolds, ser. Series in Pure Mathematics. Chandrama Prakashan, Allahabad, 1985, vol. 3, doi: 10.1142/0067.
R. S. Mishra, Structures on a differentiable manifold and their applications. Chandrama Prakashan, Allahabad, 1984.
I. Sato, “On a structure similar to the almost contact structure,” Tensor (N.S.), vol. 30, no. 3, pp. 219–224, 1976.
T. Satyanarayana and K. L. S. Prasad, “On a type of para-Kenmotsu manifold,” Pure Mathematical Sciences, vol. 2, no. 4, pp. 165–170, 2013.
R. N. Singh, S. K. Pandey, and G. Pandey, “On a type of Kenmotsu manifold,” Bull. Math. Anal. Appl., vol. 4, no. 1, pp. 117–132, 2012.
B. B. Sinha and K. L. Sai Prasad, “A class of almost para contact metric manifold,” Bull. Calcutta Math. Soc., vol. 87, no. 4, pp. 307–312, 1995.
S. Sular, C. Özgür, and U. C. De, “Quarter-symmetric metric connection in a Kenmotsu manifold,” SUT J. Math., vol. 44, no. 2, pp. 297–306, 2008.
W. Tang, P. Majhi, P. Zhao, and U. C. De, “Legendre curves on 3-dimensional Kenmotsu manifolds admitting semisymmetric metric connection,” Filomat, vol. 32, no. 10, pp. 3651– 3656, 2018, doi: 10.2298/fil1810651t.
M. M. Tripathi, “On a semi symmetric metric connection in a Kenmotsu manifold,” J. Pure Math., vol. 16, pp. 67–71, 1999.
- Department of Science and Technology (IF200486)
Similar Articles
- Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis, A Restricted Additive Schwarz Preconditioner with Harmonic Overlap for Symmetric Positive Definite Linear Systems , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Abolfazl Sadeghi, Ghasem Alizadeh Afrouzi, Maryam Mirzapour, Investigating the existence and multiplicity of solutions to \(\varphi(x)\)-Kirchhoff problem , CUBO, A Mathematical Journal: Vol. 26 No. 3 (2024)
- M. Angélica Astaburuaga, Víctor H. Cortés, Claudio Fernández, Rafael Del Río, Estabilidad espectral y resonancias para perturbaciones de rango finito y singulares , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Yaroslav Kurylev, Matti Lassas, Multidimensional Gel'fand Inverse Boundary Spectral Problem: Uniqueness and Stability , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Adrián Esparza-Amador, Parámetros especiales y deformaciones lineales de la familia \( (\wp(z))^2 + c \) , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Patrícia Hess, Severino T. Melo, K-Theory of an Algebra of Pseudodifferential Operators on a Noncompact Manifold , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Bernard Helffer, Xing-Bin Pan, On Some Spectral Problems and Asymptotic Limits Occuring in the Analysis of Liquid Crystals , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Indranil Biswas, ðº-bundles over a projective manifold , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
<< < 2 3 4 5 6 7 8 9 10 11 12 13 > >>
You may also start an advanced similarity search for this article.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 B. Chaube et al.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.











