दीनदयाल उपाध्याय गोरखपुर विश्वविद्यालय
Deen Dayal Upadhyaya Gorakhpur University
(Accredited A++ by NAAC)
Dr. Gyanvendra Pratap Singh
Ph.D., Assistant Professor
Department of Mathematics & Statistics
Differential Geometry, Structures on a Differentiable Manifold, Analysis, Number Theory and Integral Transform
| S.No. | Employer | Designation | From | To |
|---|---|---|---|---|
| 1 | DDU Gorakhpur University Gorakhpur | Assistant Professor | 29/04/2018 | Till Date |
| S.No. | Title | Journal | Volume | Year | Contribution |
|---|---|---|---|---|---|
| 1 | Estimation of approximation error of a function having its derivatives belonging to Lipschitz class of order - alpha by extended Legendre wavelet (ELW) method and its applications | Filomat | 38 | 2024 | Co-author |
| 2 | Generalized B -curvature tensor within the framework of Lorentzian beta -Kenmotsu manifold | International Journal of Geometric Methods in Modern Physics | 21 | 2024 | First Author |
| 3 | W8 - Curvature tensor in generalized Sasakian-space-forms | Ratio Mathematica | 48 | 2023 | First Author |
| 4 | A Study on W8 - Curvature Tensor in Lorentzian beta-Kenmotsu Manifolds | Journal of Rajasthan Academy of Physical Sciences | 22 | 2023 | Corresponding Author |
| 5 | A Study on W8 - Curvature Tensor in Epsilon-Kenmotsu Manifolds | Ganita Journal | 72 | 2022 | First Author |
| 6 | W8 - Curvature Tensor in Lorentzian alpha- Sasakian Manifolds | Turkish Journal of Computer and Mathematics Education | 11 | 2020 | Corresponding Author |
| S.No. | Name of Award | Agency | Year |
|---|---|---|---|
| 1 | Excellent Teaching and Research | Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur | 2022 |
| 2 | Excellent Teaching and Research | Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur | 2021 |
| 3 | Young Geometer Award | In The International Conference on Gravitation , Cosmology and Mathematical Physics Organized by Department of Mathematics & Physics, GLA University Mathura in collaboration with the Tensor Society India | 2019 |
| S.No. | Title | Publisher | ISBN | Year |
|---|---|---|---|---|
| 1 | A text book of Numerical Analysis | Kanha Publishing House Gorakhpur | 978-93-94653-21-4 | 2024 |
| 2 | A text book of Differential Equations | Kanha Publishing House Gorakhpur | 978-81-959845-5-8 | 2023 |
| 3 | A text book of Differential Geometry | Vandana Prakashan, Gorakhpur | 978-93-86201-25-6 | 2023 |
| 4 | A text book of Tensor Analysis | Kanha Publishing House Gorakhpur | 978-81-959845-8-9 | 2023 |
| 5 | A text book of Matrices | Kanha Publishing House Gorakhpur | 978-81-955010-5-2 | 2022 |
| 6 | Total Differential Equations | Notion Press | 979-8886291919 | 2022 |
| 7 | A text book of Matrices and Differential Equations | Kanha Publishing House Gorakhpur | 978-81-956677-2-7 | 2022 |
| 8 | A text book of Algebra | Vandana Prakashan, Gorakhpur | 978-93-91245-03-0 | 2022 |
| 9 | A text book of Mathematical Methods | Kanha Publishing House Gorakhpur | 978-81-956677-7-2 | 2022 |
| 10 | Mathematical Methods | Kanha Publishing House Gorakhpur | 978-81-956677-9-6 | 2022 |
| 11 | A text book of Metric Spaces | Vandana Prakashan, Gorakhpur | 978-93-86201-02-7 | 2021 |
| 12 | A text book of Differential Calculus | Kanha Publishing House Gorakhpur | 978-81-955010-1-4 | 2021 |
| 13 | A text book of Basics of Mathematics | Vandana Prakashan, Gorakhpur | 978-81-951497-3-5 | 2021 |
| 14 | A text book of Algebra and Trigonometry | Vandana Prakashan, Gorakhpur | 978-93-86201-17-1 | 2019 |
| 15 | A text book of Engineering Mathematics, Vol-II | Vandana Prakashan, Gorakhpur | 978-93-86-201-12-6 | 2017 |
| S.No. | Name | Contact Details Year of Enrollment |
Type of Scholar | Topic | Research Status |
|---|---|---|---|---|---|
| 1 | Zohra Fatma | 9335528846 zohrafatmazaidi@gmail.com Enrollment Year: 2024 |
Research Scholar | Area: Differential Geometry of Manifolds | Ongoing |
| 2 | Pranjal Sharma | 8564888676 pranjal.sharma.gkp@gmail.com Enrollment Year: 2023 |
Research Scholar | An Investigation on Certain Curvature Tensors and Connections on Differentiable Manifolds with Applications | Ongoing |
| 3 | Shiv Shakti Mishra | 8948527143 shivgkp201@gmail.com Enrollment Year: 2023 |
Research Scholar | A Study of Geometric Structures on Differentiable Manifolds with Applications | Ongoing |
| 4 | Rajan | 9628195940 rajanvishwakarma497@gmail.com Enrollment Year: 2019 |
Research Scholar | Curvature Tensor in Various Differentiable Structure on a Manifolds and Their Applications | Ongoing |
| 5 | Pawan Prajapati | 9839157564 pawanpra123@gmail.com Enrollment Year: 2019 |
Research Scholar | Study of Certain Structures on Differentiable Manifolds and Their Applications | Completed |
| 6 | Anand Kumar Mishra | 9936307083 aanandmishra1796@gmail.com Enrollment Year: 2019 |
Research Scholar | Some Investigations of Structures on Differentiable Manifold | Completed |
| S.No. | Title of Chapter | Page Numbers | Title of Book | Publisher | ISBN | Year |
|---|---|---|---|---|---|---|
| 1 | On The Exponential Diophantine Equation M3p+M7q=r2 | 24-31 | Diophantine Equations | Independently Published | 979-8458828918 | 2021 |