Kenmotsu Manifolds Admitting a Non-Symmetric Non-Metric Connection

Authors

  • Sudhakar Chaubey University of Technology and Applied Sciences, Shinas, The Sultanate of Oman https://orcid.org/0000-0002-3882-4596
  • Sunil Kumar Yadav Department of Mathematics, Poornima college of Engineering, Rajasthan, India
  • Mahesh Garvandha University of Technology and Applied Sciences, Shinas, The Sultanate of Oman

DOI:

https://doi.org/10.5281/zenodo.7384782

Keywords:

Kenmotsu manifolds, non-symmetric non-metric connection, Ricci semi-symmetric manifold, Einstein manifolds

Abstract

The aim of the present paper is to study the properties of Kenmotsu manifolds equipped with a non-symmetric non-metric connection. We also establish some curvature properties of Kenmotsu manifolds. It is proved that a Kenmotsu manifold endowed with a non-symmetric non-metric is irregular.

Author Biographies

  • Sudhakar Chaubey, University of Technology and Applied Sciences, Shinas, The Sultanate of Oman

    Sudhakar Kumar Chaubey is working as a faculty member in the Section of Mathematics, Department of Information Technology, College of Computing and Information Sciences, University of Technology and Applied Sciences, Shinas, Sultanate of Oman. He received his Ph. D. degree in Pure Mathematics from Institute of Mathematical Sciences, Banaras Hindu University, India in 2008. His research interests include differential geometry of differentiable manifolds, semi-Riemannian manifolds, linear connections and their applications. He is the member of Editorial boards for many reputed journals in his research areas. He has reviewed manuscripts for more than 60 journals and contributed many research publications in reputed journals.

    Orcid : https://orcid.org/0000-0002-3882-4596

    Scholar google: https://scholar.google.com/citations?user=_rHMU4IAAAAJ&hl=en&oi=ao

    Research gate: https://www.researchgate.net/profile/S-Chaubey

  • Sunil Kumar Yadav , Department of Mathematics, Poornima college of Engineering, Rajasthan, India

    Sunil Kumar Yadav received the bachelor degree B.Sc. from DDU Gorakhpur University, Gorakhpur, Uttar Pradesh in 2004 and the Master degree M.Sc. in Mathematics from DDU Gorakhpur University, Gorakhpur, Uttar Pradesh in 2006 and the Doctor of Philosophy in Differential geometry from DDU Gorakhpur University, Gorakhpur, Uttar Pradesh in 2010. He is currently working as an Assistant Professor at United Collage of Engineering & Research, Naini, Prayagraj, Uttar Pradesh. He has published many research papers in various National and International Indexed Journals, including SCI, Wos, and Scopus.  In addition he has authored of book “A text book of Operation Research” and book chapter “Lectures of pure mathematics on algebra, analysis and geometry”.  He can be contacted at email:prof_sky16@yahoo.com

  • Mahesh Garvandha, University of Technology and Applied Sciences, Shinas, The Sultanate of Oman

    Mahesh Garvandha is a faculty member at University of Technology and Applied Sciences-Shinas, Sultanate of Oman. He possesses his M.Sc. (Mathematics and Scientific Computing) from National Institute of Technology, Warangal, India, and obtained his M.Tech (Computer Science and Engineering) from JNTU Hyderabad, and received his Ph.D. in Applied Mathematics from GITAM (Deemed to be University), India. His research interests include fluid dynamics, heat and mass transfer, nanofluids, differential geometry. He is a life time member of the Andhra Pradesh and Telangana Society of Mathematical Sciences. He has published research papers in international journals. He can be contacted at email: mahi.nit2003@gmail.com

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Published

2022-12-07

Issue

Vol. 1 No. 3 (2022): IJITRA

Section

Regular Issue

License

Copyright (c) 2022 International Journal of Information Technology, Research and Applications

Creative Commons License

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

How to Cite

Kenmotsu Manifolds Admitting a Non-Symmetric Non-Metric Connection. (2022). International Journal of Information Technology, Research and Applications, 1(3), 11-14. https://doi.org/10.5281/zenodo.7384782