Shravan Kumar Pandey

@apsurewa.ac.in

Assistant Professor, Department of Mathematical Sciences, Faculty of Science, APS University Rewa
Awadhesh Pratap Singh University, Rewa (Madhya Pradesh) India 486003

Shravan Kumar Pandey


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https://researchid.co/shravan.math

EDUCATION

M Sc, M.Phil., Ph.D., MPSET

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Geometry and Topology
10

Scopus Publications

185

Scholar Citations

8

Scholar h-index

5

Scholar i10-index

Scopus Publications

  • Impact of Schouten-van Kampen connection on LP-Sasakian manifolds
    Filomat, 2026
  • 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
  • GENERALIZED CONFORMAL CURVATURE TENSOR OF LP-SASAKIAN MANIFOLD
    Mayank Pandey, Swati Sharma, S. K. Pandey, R. N. Singh
    South East Asian Journal of Mathematics and Mathematical Sciences, 2023
    The object of the present paper is to generalize conformal curvature tensor of LP-Sasakian manifold with the help of a new generalized (0, 2) symmetric tensor Z introduced by Mantica and Suh [7]. Various geometric properties of the generalized conformal curvature tensor of LP-Sasakian manifold have been studied. It is shown that a generalized conformally ϕ-Symmetric LP-Sasakian manifold is an η-Einstein manifold
  • Space-Time Admitting W6 -Curvature Tensor
    S. P. Maurya, S. K. Pandey, R. N. Singh
    Lecture Notes in Networks and Systems, 2022
  • On Generalized W2-Curvature Tensor of Para-Kenmotsu Manifolds
    Teerathram Raghuwanshi, Shravan Pandey, Manoj Pandey, Anil Goyal
    Filomat, 2022
    The object of the present paper is to generalizeW2-curvature tensor of para-Kenmotsu manifold with the help of a new generalized (0,2) symmetric tensor Z introduced by Mantica and Suh [11]. Various geometric properties of generalized W2-curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized W2?-symmetric para-Kenmotsu manifold is an Einstein manifold.
  • SPACE-TIME ADMITTING GENERALIZED PROJECTIVE CURVATURE TENSOR
    Mathematics Student, 2021
  • On a quarter-symmetric metric connection in an LP-sasakian manifold
    Thai Journal of Mathematics, 2014
  • 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 a semi-symmetric metric connection in an SP-Sasakian manifold
    R. N. Singh, S. K. Pandey, Giteshwari Pandey
    Proceedings of the National Academy of Sciences India Section A Physical Sciences, 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
  • Generalized conformal curvature tensor of LP-Sasakian manifold
    M Pandey, S Sharma, SK Pandey, RN Singh
    South East Asian J. of Mathematics and Mathematical Sciences. DOI 10, 241-256 , 2023
    2023
    Citations: 1
  • Generalized Projective Curvature Tensor of Quasi-Para-Sasakian Manifolds
    SK Pandey
    Modern Approaches to Mathematics and Computer Sciences, 1 , 2022
    2022
  • Space-time admitting generalized conharmonic curvature tensor.
    SP Maurya, SK Pandey, RN Singh
    Differential Geometry-Dynamical Systems 24 , 2022
    2022
    Citations: 4
  • On Generalized W ₂-Curvature Tensor of Para-Kenmotsu Manifolds
    T Raghuwanshi, SK Pandey, MK Pandey, A Goyal
    Filomat 36 (3), 741-752 , 2022
    2022
    Citations: 6
  • Space-Time Admitting -Curvature Tensor
    SP Maurya, SK Pandey, RN Singh
    Mathematical, Computational Intelligence and Engineering Approaches for … , 2021
    2021
  • Space-Time Admitting Generalized Projective Curvature Tensor
    SP Maurya, SK Pandey, RN Singh
    The Mathematics Student 90 (3-4), 29-42 , 2021
    2021
  • On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold.
    T RAGHUWANSHI, SK PANDEY, MK PANDEY, A GOYAL
    Journal of Ultra Scientist of Physical Sciences-Section A (Mathematics) 32 (9) , 2020
    2020
  • On the W2-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian Manifold
    T Raghuwanshi, SK Pandey, MK Pandey, A Goyal
    Vikram Mathematical Journal 39 , 2019
    2019
  • On M-Projective Curvature Tensor of Generalized Sasakian-Space-Forms
    SK Pandey, RN Singh
    Facta Universitatis, Series: Mathematics and Informatics, 361-373 , 2018
    2018
    Citations: 1
  • ON RICCI SOLITONS IN (????)-KENMOTSU MANIFOLDS
    RL Patel, SK Pandey, RN Singh
    International Journal of Engineering Sciences & Management Research 5 (2), 17-23 , 2018
    2018
  • Ricci Solitons on (∈)-Para Sasakian Manifolds
    RL Patel, SK Pandey, RN Singh
    International Journal OF Engineering Sciences & Management Research 5 (2) , 2018
    2018
  • Generalized Sasakian-Space-Forms admitting Quarter-Symmetric Metric Connection
    SK Pandey, RL Patel, RN Singh
    International Journal of Mathematics Trends and Technology (IJMTT) 51 (5) , 2017
    2017
  • Ricci solitons in an (ϵ)-Kenmotsu manifold admitting conharmonic curvature tensor
    SK Pandey, RL Patel, RN Singh
    Int. J. on Recent and Innovation Trends in computing and communication 5 (11 … , 2017
    2017
  • IJMTT Call for Paper October-2022
    SK Pandey, RL Patel, RN Singh
    2017
  • IJMTT Call for Paper September-2022
    SK Pandey, RL Patel, RN Singh
    2015
  • On an Invariant Submanifold of Hyperbolic Sasakian Manifolds
    SK Pandey, RN Singh
    Facta Universitatis (Nis), Ser.Math.Inform. , 2015
    2015
  • On a semi-symmetric metric connection in an -Kenmotsu manifold
    RN Singh, SK Pandey, G Pandey, K Tiwari
    Communications of the Korean Mathematical Society 29 (2), 331-343 , 2014
    2014
    Citations: 21

MOST CITED SCHOLAR PUBLICATIONS

  • On a quarter-symmetric metric connection in an LP-Sasakian manifold
    RN Singh, SK Pandey
    Thai J. Math 12 (2), 357-371 , 2014
    2014
    Citations: 35
  • On the Conharmonic Curvature Tensor of Generalized Sasakian‐Space‐Forms
    UC De, RN Singh, SK Pandey
    International Scholarly Research Notices 2012 (1), 876276 , 2012
    2012
    Citations: 35
  • On a semi-symmetric metric connection in an -Kenmotsu manifold
    RN Singh, SK Pandey, G Pandey, K Tiwari
    Communications of the Korean Mathematical Society 29 (2), 331-343 , 2014
    2014
    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 M-Projective Curvature Tensor of N (K)-Contact Metric Manifolds.
    RN Singh, SK Pandey
    ISRN Geometry , 2013
    2013
    Citations: 8
  • On generalized Sasakian-space-forms
    RN Singh, SK Pandey
    The Mathematics Student 81 (1-4), 1-10 , 2012
    2012
    Citations: 8
  • 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
  • On Generalized W ₂-Curvature Tensor of Para-Kenmotsu Manifolds
    T Raghuwanshi, SK Pandey, MK Pandey, A Goyal
    Filomat 36 (3), 741-752 , 2022
    2022
    Citations: 6
  • 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 Quarter-Symmetric Metric Connection in an Indefinite Sasakian Manifold
    RN Singh, SK Pandey, K Tiwari
    Journal of International Academy of Physical Sciences 17 (3), 255-275 , 2013
    2013
    Citations: 5
  • 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
  • Space-time admitting generalized conharmonic curvature tensor.
    SP Maurya, SK Pandey, RN Singh
    Differential Geometry-Dynamical Systems 24 , 2022
    2022
    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
  • On the C-Bochner Curvature tensor of generalized Sasakian Space-forms
    RN Singh, SK Pandey
    Journal of Tensor Society 7, 17-28 , 2013
    2013
    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
  • Shravan K. Pandey. On the Conharmonic Curvature Tensor of Generalized SasakianSpaceForms
    UC De, RN Singh
    International Scholarly Research Network ISRN Geometry. Volume , 2012
    2012
    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
  • Generalized conformal curvature tensor of LP-Sasakian manifold
    M Pandey, S Sharma, SK Pandey, RN Singh
    South East Asian J. of Mathematics and Mathematical Sciences. DOI 10, 241-256 , 2023
    2023
    Citations: 1
  • On M-Projective Curvature Tensor of Generalized Sasakian-Space-Forms
    SK Pandey, RN Singh
    Facta Universitatis, Series: Mathematics and Informatics, 361-373 , 2018
    2018
    Citations: 1