PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION S. K. Mishra, Giteshwari Pandey, S. K. Pandey, R. N. Singh South East Asian Journal of Mathematics and Mathematical Sciences, 2025 In this article, we examine para - Kenmotsu manifolds equipped with a quarter-symmetric metric connection, focusing on various geometric and curvature properties and we construct an example of a 3-dimensional para-Kenmotsu manifold which confirms the specified metric and structure fulfill the para-Kenmotsu curvature conditions. A unique relation between the curvature tensors of Para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and the Levi-Civita connection has been established. We explore the characteristics of the locally $\phi$-symmetric para-Kenmotsu manifold with respect to the quarter-symmetric metric connection and show that a para-Kenmotsu manifold admitting the quarter-symmetric metric connection $\tilde \nabla$ is locally $\phi$-symmetric if and only if it is so with respect to the Levi-Civita connection. In addition, we studied $\phi$-recurrent para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and proved that if a para-Kenmotsu manifold is $\phi$-recurrent with respect to the quarter-symmetric metric connection, then the manifold is an $\eta$-Einstein manifold with respect to the Levi-Civita connection
ON GENERALIZED PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS Teerathram Raghuwanshi, Giteshwari Pandey, Manoj Kumar Pandey, Anil Goyal Miskolc Mathematical Notes, 2023 The object of the present paper is to generalize projective curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh [8].Various geometric properties of generalized projective curvature tensor of para-Kenmotsu manifold have been studied.It is shown that a generalized projectively symmetric para-Kenmotsu manifold is an Einstein manifold.
ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION Swati Sharma, Mayank Pandey, Giteshwari Pandey, R. N. Singh South East Asian Journal of Mathematics and Mathematical Sciences, 2022 In this paper, relation between curvature tensors of Levi-Civita connection and Zamkovoy connection on para-Kenmotsu manifolds have been obtained.Quasi M-projectively flat, M-projectively flat and φ-M-projectively flat paraKenmotsu manifolds admitting Zamkovoy connection have been studied. Also, para-Kenmotsu manifolds admitting Zamkovoy connction satisfying M¯ (ξ, U).R¯ = 0 and M¯ (ξ, U).S¯ = 0 have been developed
On generalized pseudo-projective curvature tensor of para-kenmotsu manifolds , A. Goyal, G. Pandey, , M.K. Pandey, and Bulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021 The object of the present paper is to generalize pseudo-projective curva-ture tensor of para-Kenmotsu manifold with the help of a new generalized(0,2) symmetric tensorZintroduced by Mantica and Suh. Various geo-metric properties of generalized pseudo-projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized pseudo-projectivelyφ-symmetric para-Kenmotsu manifold is an Einstein manifold
On a semi-symmetric metric connection in an (ε)-Kenmotsu manifold Ram Nawal Singh, Shravan Kumar Pandey, Giteshwari Pandey, Kiran Tiwari Communications of the Korean Mathematical Society, 2014 The object of the present paper is to study a semi-symmetricmetric connection in an (e)-Kenmotsu manifold. In this paper, we studya semi-symmetric metric connection in an (e)-Kenmotsu manifold whoseprojective curvature tensor satisfies certain curvature conditions. 1. IntroductionThe idea of a semi-symmetric linear connection on a differentiable manifoldwasfirstintroducedby Friedmannand Schouten[11] in 1924. Hayden[12] intro-duced a semi-symmetric metric connection on a Riemannian manifold. Yano[21] proved the theorem: A Riemannian manifold admits a semi-symmetricmetric connection whose curvature tensor vanishes if and only if Riemannianmanifold is conformally flat. Semi-symmetric metric connections on a Rie-mannian manifold have been studied by Amur and Pujar [1], Pravanovic [15],Binh [4], De ([6], [7]), De and Biswas [8], Sharfuddin and Hussain [16], Pathakand De [14], Jun, De and Pathak [13], Barman and De [2], Chaubey and Ojha[5], Singh and Pandey [17], Singh, Pandey and Pandey ([18], [19]) and manyothers.Duggal and Sharma [10] studied a semi-symmetric metric connection in asemi-Riemannian manifold. They studied some properties of the Ricci tensor,affine conformal motions, geodesics and group manifolds with respect to thesemi-symmetric metric connection. On the other hand, the study of manifoldswith indefinite metrics is of interest from the standpoint of physics and relativ-ity. Manifolds with indefinite metrics have been studied by several authors. In1993, Bejancu and Duggal [3] introduced the concept of (e)-Sasakian manifoldsand Xufeng and Xiaoli [20] established that these manifolds are real hypersur-faces of indefinite Kahlerian manifolds. Recently De and Sarkar [9] introduced
On the W2-curvature tensor of the semi-symmetric non-metric connection in a kenmotsu manifold Novi Sad Journal of Mathematics, 2013
On W2-curvature tensor in a Kenmotsu manifold Tamsui Oxford Journal of Information and Mathematical Sciences, 2013
RECENT SCHOLAR PUBLICATIONS
Impact of Schouten-van Kampen connection on LP-Sasakian manifolds G Pandey, SK Mishra, SK Pandey, RN Singh Filomat 40 (1), 199-210 , 2026 2026
PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION. SK Mishra, G Pandey, SK Pandey, RN Singh South East Asian Journal of Mathematics & Mathematical Sciences 21 (3), 153 , 2025 2025
Quasi-Para-Sasakian manifold admitting zamkovoy connection SK Mishra, G Pandey, SK Pandey, RN Singh Facta Universitatis, Series: Mathematics and Informatics, 869-893 , 2023 2023 Citations: 2
On generalized projective curvature tensor of para-Kenmotsu manifolds T Raghuwanshi, G Pandey, MK Pandey, A Goyal Miskolc Mathematical Notes 24 (1), 383-394 , 2023 2023 Citations: 1
ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION S Sharma, M Pandey, G Pandey, RN Singh South East Asian Journal of Mathematics and Mathematical Sciences 18 (02 … , 2022 2022 Citations: 1
2. Generalized Pseudo-Projective Curvature Tensor of Quasi-Para-Sasakian Manifolds G Pandey Modern Approaches to Mathematics and Computer Sciences, 20 , 2022 2022
On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds A Goyal, G Pandey, MK Pandey, T Raghuwanshi Bulletin of Transilvania Univesity of Brasov, Series III: Mathematics and … , 2021 2021 Citations: 4
Some Curvature Properties of a Semi-Symmetric Non-Metric Connections RNS Giteshwari Pandey Vindhya Bharti 15 (II), 47-52 , 2017 2017
On a semi-symmetric non-metric connection in an indefinite para Sasakian manifold S Pandey Journal of Mathematics and Computer Science , 2014 2014 Citations: 3
On W 2 -Curvature Tensor in a Kenmotsu Manifold. RN Singh, SK Pandey, G Pandey Tamsui Oxford Journal of Information & Mathematical Sciences (TOJIMS) 29 (2) , 2013 2013 Citations: 15
On a semi-symmetric metric connection in an SP-Sasakian manifold RN Singh, SK Pandey, G Pandey Proceedings of the National Academy of Sciences, India Section A: Physical … , 2013 2013 Citations: 6
On the W2-curvature tensor of the semi-symmetric non-metric connection in a Kenmotsu manifold RN Singh, G Pandey Novi Sad J. Math 43 (2), 91-105 , 2013 2013 Citations: 11
International Journal of Mathematical Archive-4 (6), 2013, 273-286 Available online through www. ijma. info ISSN 2229–5046 RN Singh, SK Pandey, G Pandey 2013
On a type of Kenmotsu manifold RN Singh, SK Pandey, G Pandey Bulletin of Mathematical Analysis and Applications 4 (1), 117-132 , 2012 2012 Citations: 15
Some curvature properties of a semi-symmetric metric connection in a Kenmotsu manifold RN Singh, SK Pandey, G Pandey Rev.Bull.Cal.Math.Soc., 20 (1), 81-92 , 2012 2012 Citations: 5
On Semi-Symmetric Non-Metric Connections in a Co-Symplectic Manifold RN Singh, SK Pandey, G Pandey Journal of International Academy of Physical Sciences 16 (1), 1-16 , 2012 2012 Citations: 2
On a semi-symmetric metric connection in a Kenmotsu manifold RN Singh, G Pandey Vikram Mathematical Journal 31 , 2011 2011 Citations: 21
Second order parallel tensors on LP-Sasakian manifolds RN Singh, SK Pandey, G Pandey Journal of International Academy of Physical Sciences 13 (4), 383-388 , 2009 2009 Citations: 8
Conservation Strategy and Some Studies on Habitat Ecology of Musk Deer (Moschus Moschiferus)-A Vanishing Species GC Joshi, KC Tiwari, RN Tiwari, G Pandey Indian Forester 119, 798-798 , 1993 1993 Citations: 7
Some rare folk tribal medicines from Garo hills in north eastern India KC Tiwari, GC Joshi, NK Pande, G Pandey J. Econ. Taxon. Bot. Addit. Ser 10, 319-322 , 1992 1992 Citations: 4
MOST CITED SCHOLAR PUBLICATIONS
On a semi-symmetric metric connection in a Kenmotsu manifold RN Singh, G Pandey Vikram Mathematical Journal 31 , 2011 2011 Citations: 21
On W 2 -Curvature Tensor in a Kenmotsu Manifold. RN Singh, SK Pandey, G Pandey Tamsui Oxford Journal of Information & Mathematical Sciences (TOJIMS) 29 (2) , 2013 2013 Citations: 15
On a type of Kenmotsu manifold RN Singh, SK Pandey, G Pandey Bulletin of Mathematical Analysis and Applications 4 (1), 117-132 , 2012 2012 Citations: 15
On the W2-curvature tensor of the semi-symmetric non-metric connection in a Kenmotsu manifold RN Singh, G Pandey Novi Sad J. Math 43 (2), 91-105 , 2013 2013 Citations: 11
Second order parallel tensors on LP-Sasakian manifolds RN Singh, SK Pandey, G Pandey Journal of International Academy of Physical Sciences 13 (4), 383-388 , 2009 2009 Citations: 8
Conservation Strategy and Some Studies on Habitat Ecology of Musk Deer (Moschus Moschiferus)-A Vanishing Species GC Joshi, KC Tiwari, RN Tiwari, G Pandey Indian Forester 119, 798-798 , 1993 1993 Citations: 7
On a semi-symmetric metric connection in an SP-Sasakian manifold RN Singh, SK Pandey, G Pandey Proceedings of the National Academy of Sciences, India Section A: Physical … , 2013 2013 Citations: 6
Some curvature properties of a semi-symmetric metric connection in a Kenmotsu manifold RN Singh, SK Pandey, G Pandey Rev.Bull.Cal.Math.Soc., 20 (1), 81-92 , 2012 2012 Citations: 5
On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds A Goyal, G Pandey, MK Pandey, T Raghuwanshi Bulletin of Transilvania Univesity of Brasov, Series III: Mathematics and … , 2021 2021 Citations: 4
Some rare folk tribal medicines from Garo hills in north eastern India KC Tiwari, GC Joshi, NK Pande, G Pandey J. Econ. Taxon. Bot. Addit. Ser 10, 319-322 , 1992 1992 Citations: 4
On a semi-symmetric non-metric connection in an indefinite para Sasakian manifold S Pandey Journal of Mathematics and Computer Science , 2014 2014 Citations: 3
Quasi-Para-Sasakian manifold admitting zamkovoy connection SK Mishra, G Pandey, SK Pandey, RN Singh Facta Universitatis, Series: Mathematics and Informatics, 869-893 , 2023 2023 Citations: 2
On Semi-Symmetric Non-Metric Connections in a Co-Symplectic Manifold RN Singh, SK Pandey, G Pandey Journal of International Academy of Physical Sciences 16 (1), 1-16 , 2012 2012 Citations: 2
On generalized projective curvature tensor of para-Kenmotsu manifolds T Raghuwanshi, G Pandey, MK Pandey, A Goyal Miskolc Mathematical Notes 24 (1), 383-394 , 2023 2023 Citations: 1
ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION S Sharma, M Pandey, G Pandey, RN Singh South East Asian Journal of Mathematics and Mathematical Sciences 18 (02 … , 2022 2022 Citations: 1
Impact of Schouten-van Kampen connection on LP-Sasakian manifolds G Pandey, SK Mishra, SK Pandey, RN Singh Filomat 40 (1), 199-210 , 2026 2026
PARA-KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION. SK Mishra, G Pandey, SK Pandey, RN Singh South East Asian Journal of Mathematics & Mathematical Sciences 21 (3), 153 , 2025 2025
2. Generalized Pseudo-Projective Curvature Tensor of Quasi-Para-Sasakian Manifolds G Pandey Modern Approaches to Mathematics and Computer Sciences, 20 , 2022 2022
Some Curvature Properties of a Semi-Symmetric Non-Metric Connections RNS Giteshwari Pandey Vindhya Bharti 15 (II), 47-52 , 2017 2017
International Journal of Mathematical Archive-4 (6), 2013, 273-286 Available online through www. ijma. info ISSN 2229–5046 RN Singh, SK Pandey, G Pandey 2013
